252814400 has 42 divisors (see below), whose sum is σ = 622085370. Its totient is φ = 101125120.

The previous prime is 252814391. The next prime is 252814417. The reversal of 252814400 is 4418252.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 78996544 + 173817856 = 8888^2 + 13184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 252814400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77405 + ... + 80604.

Almost surely, 2^252814400 is an apocalyptic number.

252814400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252814400 is an abundant number, since it is smaller than the sum of its proper divisors (369270970).

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

252814400 is a wasteful number, since it uses less digits than its factorization.

252814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158031 (or 158016 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 252814400 is about 15900.1383641778. The cubic root of 252814400 is about 632.3156570898.

The spelling of 252814400 in words is "two hundred fifty-two million, eight hundred fourteen thousand, four hundred".