252960264 has 48 divisors (see below), whose sum is σ = 686025600. Its totient is φ = 84206304.

The previous prime is 252960263. The next prime is 252960277. The reversal of 252960264 is 462069252.

252960264 is a `hidden beast` number, since 25 + 29 + 602 + 6 + 4 = 666.

252960264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252960263) 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, 64257 + ... + 68079.

It is an arithmetic number, because the mean of its divisors is an integer number (14292200).

Almost surely, 2^252960264 is an apocalyptic number.

252960264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252960264 is an abundant number, since it is smaller than the sum of its proper divisors (433065336).

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

252960264 is a wasteful number, since it uses less digits than its factorization.

252960264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 252960264 is about 15904.7245810797. The cubic root of 252960264 is about 632.4372408268.

The spelling of 252960264 in words is "two hundred fifty-two million, nine hundred sixty thousand, two hundred sixty-four".