509409264 has 120 divisors (see below), whose sum is σ = 1628740992. Its totient is φ = 134334720.

The previous prime is 509409259. The next prime is 509409281. The reversal of 509409264 is 462904905.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52299 + ... + 61269.

Almost surely, 2^509409264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814370496).

509409264 is an abundant number, since it is smaller than the sum of its proper divisors (1119331728).

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

509409264 is a wasteful number, since it uses less digits than its factorization.

509409264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 509409264 is about 22570.0966767978. The cubic root of 509409264 is about 798.6483760101.

The spelling of 509409264 in words is "five hundred nine million, four hundred nine thousand, two hundred sixty-four".