Find the next number in the following number series? 410, 409, 413, 404, ?

The given number series 410, 409, 413, 404, ? , follows a pattern that 

410

$410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420$

Hence, the next number in the given series is 420.