506957264 has 40 divisors (see below), whose sum is σ = 1089707040. Its totient is φ = 226524800.

The previous prime is 506957257. The next prime is 506957281. The reversal of 506957264 is 462759605.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 14027 + ... + 34794.

It is an arithmetic number, because the mean of its divisors is an integer number (27242676).

Almost surely, 2^506957264 is an apocalyptic number.

It is an amenable number.

506957264 is an abundant number, since it is smaller than the sum of its proper divisors (582749776).

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

506957264 is a wasteful number, since it uses less digits than its factorization.

506957264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48899 (or 48893 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 506957264 is about 22515.7114922003. The cubic root of 506957264 is about 797.3649048720.

The spelling of 506957264 in words is "five hundred six million, nine hundred fifty-seven thousand, two hundred sixty-four".