252496800 has 108 divisors (see below), whose sum is σ = 890392230. Its totient is φ = 67330560.

The previous prime is 252496763. The next prime is 252496847. The reversal of 252496800 is 8694252.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 242985744 + 9511056 = 15588^2 + 3084^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 10335 + ... + 24734.

Almost surely, 2^252496800 is an apocalyptic number.

252496800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252496800 is an abundant number, since it is smaller than the sum of its proper divisors (637895430).

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

252496800 is a wasteful number, since it uses less digits than its factorization.

252496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35095 (or 35079 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252496800 is about 15890.1478910676. The cubic root of 252496800 is about 632.0507623597.

The spelling of 252496800 in words is "two hundred fifty-two million, four hundred ninety-six thousand, eight hundred".