252826400 has 36 divisors (see below), whose sum is σ = 617214402. Its totient is φ = 101130240.

The previous prime is 252826391. The next prime is 252826429. The reversal of 252826400 is 4628252.

It can be written as a sum of positive squares in 3 ways, for example, as 196336144 + 56490256 = 14012^2 + 7516^2 .

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, 157217 + ... + 158816.

Almost surely, 2^252826400 is an apocalyptic number.

252826400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252826400 is an abundant number, since it is smaller than the sum of its proper divisors (364388002).

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

252826400 is a wasteful number, since it uses less digits than its factorization.

252826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316053 (or 316040 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 252826400 is about 15900.5157149069. The cubic root of 252826400 is about 632.3256613562.

The spelling of 252826400 in words is "two hundred fifty-two million, eight hundred twenty-six thousand, four hundred".