252591400 has 24 divisors (see below), whose sum is σ = 587275470. Its totient is φ = 101036480.

The previous prime is 252591397. The next prime is 252591403. The reversal of 252591400 is 4195252.

252591400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252591397) and next prime (252591403).

It can be written as a sum of positive squares in 3 ways, for example, as 109118916 + 143472484 = 10446^2 + 11978^2 .

It is not an unprimeable number, because it can be changed into a prime (252591403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631279 + ... + 631678.

Almost surely, 2^252591400 is an apocalyptic number.

252591400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252591400 is an abundant number, since it is smaller than the sum of its proper divisors (334684070).

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

252591400 is a wasteful number, since it uses less digits than its factorization.

252591400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262973 (or 1262964 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 252591400 is about 15893.1242995202. The cubic root of 252591400 is about 632.1296868404.

The spelling of 252591400 in words is "two hundred fifty-two million, five hundred ninety-one thousand, four hundred".