509364920 has 32 divisors (see below), whose sum is σ = 1206392400. Its totient is φ = 193022208.

The previous prime is 509364899. The next prime is 509364943. The reversal of 509364920 is 29463905.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 334349 + ... + 335868.

Almost surely, 2^509364920 is an apocalyptic number.

It is an amenable number.

509364920 is an abundant number, since it is smaller than the sum of its proper divisors (697027480).

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

509364920 is a wasteful number, since it uses less digits than its factorization.

509364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670247 (or 670243 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 509364920 is about 22569.1142936536. The cubic root of 509364920 is about 798.6252012639.

The spelling of 509364920 in words is "five hundred nine million, three hundred sixty-four thousand, nine hundred twenty".