A couple is buying their dream house for $$495,575\mathrm{.}00.$ They will put $20\mathrm{.}00\%$ down and finance the rest with a $30\mathrm{.}00-$year mortgage with monthly payments. The bank has offered them a loan with $6\mathrm{.}00\%$ APR and monthly compounding. What will be their monthly payment on this mortgage?