509904984 has 32 divisors (see below), whose sum is σ = 1275563520. Its totient is φ = 169861536.

The previous prime is 509904971. The next prime is 509904991. The reversal of 509904984 is 489409905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38577 + ... + 50079.

It is an arithmetic number, because the mean of its divisors is an integer number (39861360).

Almost surely, 2^509904984 is an apocalyptic number.

It is an amenable number.

509904984 is an abundant number, since it is smaller than the sum of its proper divisors (765658536).

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

509904984 is a wasteful number, since it uses less digits than its factorization.

509904984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 509904984 is about 22581.0757936818. The cubic root of 509904984 is about 798.9073541691.

The spelling of 509904984 in words is "five hundred nine million, nine hundred four thousand, nine hundred eighty-four".