252888320 has 36 divisors (see below), whose sum is σ = 605749620. Its totient is φ = 101154816.

The previous prime is 252888319. The next prime is 252888329. The reversal of 252888320 is 23888252.

It can be written as a sum of positive squares in 2 ways, for example, as 170877184 + 82011136 = 13072^2 + 9056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252888329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97505 + ... + 100064.

Almost surely, 2^252888320 is an apocalyptic number.

252888320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252888320 is an abundant number, since it is smaller than the sum of its proper divisors (352861300).

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

252888320 is an equidigital number, since it uses as much as digits as its factorization.

252888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197590 (or 197576 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 252888320 is about 15902.4627023615. The cubic root of 252888320 is about 632.3772783405.

The spelling of 252888320 in words is "two hundred fifty-two million, eight hundred eighty-eight thousand, three hundred twenty".