252802800 has 90 divisors (see below), whose sum is σ = 877308432. Its totient is φ = 67413120.

The previous prime is 252802783. The next prime is 252802817. The reversal of 252802800 is 8208252.

It is an interprime number because it is at equal distance from previous prime (252802783) and next prime (252802817).

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31512 + ... + 38711.

Almost surely, 2^252802800 is an apocalyptic number.

252802800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252802800 is an abundant number, since it is smaller than the sum of its proper divisors (624505632).

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

252802800 is a wasteful number, since it uses less digits than its factorization.

252802800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70247 (or 70233 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 252802800 is about 15899.7735832936. The cubic root of 252802800 is about 632.3059859980.

The spelling of 252802800 in words is "two hundred fifty-two million, eight hundred two thousand, eight hundred".