509408960 has 56 divisors (see below), whose sum is σ = 1241273616. Its totient is φ = 199019520.

The previous prime is 509408947. The next prime is 509408971. The reversal of 509408960 is 69804905.

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, 4751 + ... + 32270.

Almost surely, 2^509408960 is an apocalyptic number.

It is an amenable number.

509408960 is an abundant number, since it is smaller than the sum of its proper divisors (731864656).

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

509408960 is a wasteful number, since it uses less digits than its factorization.

509408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37081 (or 37071 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 509408960 is about 22570.0899422222. The cubic root of 509408960 is about 798.6482171404.

The spelling of 509408960 in words is "five hundred nine million, four hundred eight thousand, nine hundred sixty".