252774800 has 30 divisors (see below), whose sum is σ = 607292418. Its totient is φ = 101109760.

The previous prime is 252774779. The next prime is 252774811. The reversal of 252774800 is 8477252.

It can be written as a sum of positive squares in 3 ways, for example, as 473344 + 252301456 = 688^2 + 15884^2 .

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, 315569 + ... + 316368.

Almost surely, 2^252774800 is an apocalyptic number.

252774800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252774800 is an abundant number, since it is smaller than the sum of its proper divisors (354517618).

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

252774800 is a wasteful number, since it uses less digits than its factorization.

252774800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631955 (or 631944 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 252774800 is about 15898.8930432279. The cubic root of 252774800 is about 632.2826407643.

The spelling of 252774800 in words is "two hundred fifty-two million, seven hundred seventy-four thousand, eight hundred".