Jay purchased a $180-$day $$500,000$ bank bill $($at a simple interest rate$)$ on $16$ July $2023.$ The purchase price was $$490,550.$ He sold this bank bill on $12$ August $2023.$

What was his selling price, if he sold this bank bill at a yield of $3\mathrm{.}67\%$ p$.$a$.($simple interest$)?$ Round your answer to three decimal places.