408983272324 has 81 divisors (see below), whose sum is σ = 807496047183. Its totient is φ = 181111497600.

The previous prime is 408983272319. The next prime is 408983272343. The reversal of 408983272324 is 423272389804.

It is a happy number.

The square root of 408983272324 is 639518.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 280389312324 + 128593960000 = 529518^2 + 358600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 576844882 + ... + 576845590.

Almost surely, 2^408983272324 is an apocalyptic number.

408983272324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

408983272324 is the 639518-th square number.

It is an amenable number.

408983272324 is a deficient number, since it is larger than the sum of its proper divisors (398512774859).

408983272324 is an equidigital number, since it uses as much as digits as its factorization.

408983272324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 408983272324 in words is "four hundred eight billion, nine hundred eighty-three million, two hundred seventy-two thousand, three hundred twenty-four".