If successful, the application will force the 66-year-old to sell his half share in the $1.3m Westmere family home.
Brown has already lost nearly $900,000 cash, $60,000 worth of jewellery and his six cars valued at $440,000 to the Crown.
Crown prosecutor Robin McCoubrey said selling the home was necessary after Parliament passed the Proceeds of Crime Act to show that crime "does not pay".
He said while the Crown could not recover the $4.5m that Brown has admitted to making from drug dealing, a clear message needed to be sent.
"We can't ignore that for years he made $4.5m from drug dealing and lived a life where he wanted for nothing because he was a drug dealer."
Brown's lawyer David Reece said his client's family did not want to lose the home where many of them grew up.
"When you go inside the house it is a humble abode - it reflects its history."
He said the Westmere home was bought by Brown's family 40 years ago and is now owned by Brown and his brother.
Mr Reece asked Justice Woolford to consider the "undue hardship" on the Brown family.
He also handed a letter up to the Judge from Brown that he said made it clear that Brown was "stupid and greedy".
"He thoroughly deserves to lose the whole lot - I think you could glean it from that."
He said Brown has suffered two strokes and will be at the mercy of his family and the state when he leaves prison.
He said the family might be able to buy out Brown's half share in the home if it was around the $250,000 mark but there was little chance of getting the $600,000 together.
He said Brown had already been sentenced to a lengthy prison term and had suffered two strokes, which would likely "end his days".
"And now he is set to lose pretty much everything."
Justice Woolford reserved his decision.
Brown's arrest followed a five-month investigation, which began in 2008 when Australian authorities intercepted a container from Lithuania containing a large granite sculpture in the shape of a column, with 28kg of methamphetamine concealed inside.
Enquiries revealed that four stone sculptures from the same source had been imported, which police found were sent to Brown by Lithuanian drug magnate Rokas Karpavicius, who fled from New Zealand in 2001 while facing charges of importing cocaine.
Police said the sculptures had contained class A and B drugs.
Brown also couriered a Harry Potter book from Spain which had 35 tabs of LSD hidden in the spine.
The police summary of facts said payment for the drugs would be carried out by Karpavicius, who arranged for his associates to travel to New Zealand and collect the money and distribute it overseas.
Two of these "money mules", Martynas Cikas and his girlfriend Irina Mejeraite, were supplied with about $1.3 million by Brown while they were here.
Customs found 37,000 euro ($74,415), US$99,000 ($134,598) and NZ$122,000 in their luggage, along with false passports which they had used to wire money overseas.
Brown also set up a company called Chamo - the name of his dog - to re-route funds, and got his associates to clean drug money by depositing and then withdrawing cash from their own bank accounts.
He was also alleged to have been the intended recipient of a computer monitor intercepted in Germany which had 10,000 ecstasy tablets inside, with a street value of up to $1 million, but this charge was withdrawn.
A search warrant on his home found a small plastic container buried in the back garden containing about 1000 ecstasy tablets, with a street value of up to $80,000. There was also about $6000 strewn across his dining room table.
Police also seized about $60,000 cash from a bar he owned on Auckland's Karangahape Rd - the K Rd Ballroom - and about $300,000 from his bank safety deposit box.
