252762400 has 72 divisors (see below), whose sum is σ = 673175664. Its totient is φ = 91910400.

The previous prime is 252762379. The next prime is 252762407. The reversal of 252762400 is 4267252.

It is not an unprimeable number, because it can be changed into a prime (252762407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5562 + ... + 23161.

It is an arithmetic number, because the mean of its divisors is an integer number (9349662).

Almost surely, 2^252762400 is an apocalyptic number.

252762400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252762400 is an abundant number, since it is smaller than the sum of its proper divisors (420413264).

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

252762400 is a wasteful number, since it uses less digits than its factorization.

252762400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28754 (or 28741 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 252762400 is about 15898.5030741891. The cubic root of 252762400 is about 632.2723016101.

It can be divided in two parts, 25 and 2762400, that added together give a triangular number (2762425 = T₂₃₅₀).

The spelling of 252762400 in words is "two hundred fifty-two million, seven hundred sixty-two thousand, four hundred".