252831264 has 48 divisors (see below), whose sum is σ = 758495808. Its totient is φ = 72237312.

The previous prime is 252831239. The next prime is 252831269. The reversal of 252831264 is 462138252.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (252831269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187447 + ... + 188790.

It is an arithmetic number, because the mean of its divisors is an integer number (15801996).

Almost surely, 2^252831264 is an apocalyptic number.

252831264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252831264 is an abundant number, since it is smaller than the sum of its proper divisors (505664544).

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

252831264 is a wasteful number, since it uses less digits than its factorization.

252831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376257 (or 376249 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 252831264 is about 15900.6686651851. The cubic root of 252831264 is about 632.3297163287.

The spelling of 252831264 in words is "two hundred fifty-two million, eight hundred thirty-one thousand, two hundred sixty-four".