252150400 has 48 divisors (see below), whose sum is σ = 622898190. Its totient is φ = 100858880.

The previous prime is 252150397. The next prime is 252150419. The reversal of 252150400 is 4051252.

It can be written as a sum of positive squares in 3 ways, for example, as 220700736 + 31449664 = 14856^2 + 5608^2 .

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, 36199 + ... + 42598.

Almost surely, 2^252150400 is an apocalyptic number.

252150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252150400 is an abundant number, since it is smaller than the sum of its proper divisors (370747790).

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

252150400 is an equidigital number, since it uses as much as digits as its factorization.

252150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78821 (or 78804 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 252150400 is about 15879.2443145132. The cubic root of 252150400 is about 631.7615935692.

The spelling of 252150400 in words is "two hundred fifty-two million, one hundred fifty thousand, four hundred".