509359872 has 72 divisors (see below), whose sum is σ = 1549319296. Its totient is φ = 145529856.

The previous prime is 509359859. The next prime is 509359913. The reversal of 509359872 is 278953905.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 41998 + ... + 52749.

Almost surely, 2^509359872 is an apocalyptic number.

It is an amenable number.

509359872 is an abundant number, since it is smaller than the sum of its proper divisors (1039959424).

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

509359872 is an equidigital number, since it uses as much as digits as its factorization.

509359872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94773 (or 94759 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 509359872 is about 22569.0024591252. The cubic root of 509359872 is about 798.6225630287.

The spelling of 509359872 in words is "five hundred nine million, three hundred fifty-nine thousand, eight hundred seventy-two".