252262656 has 108 divisors (see below), whose sum is σ = 735087808. Its totient is φ = 83192832.

The previous prime is 252262651. The next prime is 252262657. The reversal of 252262656 is 656262252.

252262656 is a `hidden beast` number, since 2 + 5 + 22 + 626 + 5 + 6 = 666.

It is a super-2 number, since 2×252262656² = 127272895224348672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252262656.

It is not an unprimeable number, because it can be changed into a prime (252262651) 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, 236781 + ... + 237843.

Almost surely, 2^252262656 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 252262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367543904).

252262656 is an abundant number, since it is smaller than the sum of its proper divisors (482825152).

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

252262656 is a wasteful number, since it uses less digits than its factorization.

252262656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1171 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 252262656 is about 15882.7785982176. The cubic root of 252262656 is about 631.8553319463.

The spelling of 252262656 in words is "two hundred fifty-two million, two hundred sixty-two thousand, six hundred fifty-six".