509381856 has 72 divisors (see below), whose sum is σ = 1450789704. Its totient is φ = 169532160.

The previous prime is 509381837. The next prime is 509381857. The reversal of 509381856 is 658183905.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509381857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304735 + ... + 306401.

It is an arithmetic number, because the mean of its divisors is an integer number (20149857).

Almost surely, 2^509381856 is an apocalyptic number.

It is an amenable number.

509381856 is an abundant number, since it is smaller than the sum of its proper divisors (941407848).

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

509381856 is a wasteful number, since it uses less digits than its factorization.

509381856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 509381856 is about 22569.4894935619. The cubic root of 509381856 is about 798.6340523947.

The spelling of 509381856 in words is "five hundred nine million, three hundred eighty-one thousand, eight hundred fifty-six".