252550400 has 54 divisors (see below), whose sum is σ = 625117542. Its totient is φ = 101017600.

The previous prime is 252550393. The next prime is 252550409. The reversal of 252550400 is 4055252.

It can be written as a sum of positive squares in 3 ways, for example, as 5683456 + 246866944 = 2384^2 + 15712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252550409) 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, 13331 + ... + 26130.

Almost surely, 2^252550400 is an apocalyptic number.

252550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252550400 is an abundant number, since it is smaller than the sum of its proper divisors (372567142).

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

252550400 is an equidigital number, since it uses as much as digits as its factorization.

252550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39487 (or 39468 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 252550400 is about 15891.8343812160. The cubic root of 252550400 is about 632.0954830900.

It can be divided in two parts, 2525 and 50400, that added together give a palindrome (52925).

The spelling of 252550400 in words is "two hundred fifty-two million, five hundred fifty thousand, four hundred".