509403904 has 36 divisors (see below), whose sum is σ = 1049634880. Its totient is φ = 246481920.

The previous prime is 509403893. The next prime is 509403919. The reversal of 509403904 is 409304905.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 509403904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24159 + ... + 40030.

Almost surely, 2^509403904 is an apocalyptic number.

It is an amenable number.

509403904 is an abundant number, since it is smaller than the sum of its proper divisors (540230976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509403904 is an equidigital number, since it uses as much as digits as its factorization.

509403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64236 (or 64222 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 509403904 is about 22569.9779353016. The cubic root of 509403904 is about 798.6455748765.

The spelling of 509403904 in words is "five hundred nine million, four hundred three thousand, nine hundred four".