509955264 has 560 divisors, whose sum is σ = 1982711808. Its totient is φ = 125908992.

The previous prime is 509955247. The next prime is 509955317. The reversal of 509955264 is 462559905.

It is a happy number.

509955264 is a `hidden beast` number, since 5 + 0 + 99 + 552 + 6 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 10850089 + ... + 10850135.

Almost surely, 2^509955264 is an apocalyptic number.

509955264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991355904).

509955264 is an abundant number, since it is smaller than the sum of its proper divisors (1472756544).

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

509955264 is a wasteful number, since it uses less digits than its factorization.

509955264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 509955264 is about 22582.1890878630. The cubic root of 509955264 is about 798.9336124870.

The spelling of 509955264 in words is "five hundred nine million, nine hundred fifty-five thousand, two hundred sixty-four".