252124400 has 60 divisors (see below), whose sum is σ = 660806664. Its totient is φ = 91680000.

The previous prime is 252124391. The next prime is 252124423. The reversal of 252124400 is 4421252.

It is a happy number.

252124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24251 + ... + 33050.

Almost surely, 2^252124400 is an apocalyptic number.

252124400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252124400 is an abundant number, since it is smaller than the sum of its proper divisors (408682264).

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

252124400 is a wasteful number, since it uses less digits than its factorization.

252124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57330 (or 57319 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 252124400 is about 15878.4256146508. The cubic root of 252124400 is about 631.7398785319.

Adding to 252124400 its reverse (4421252), we get a palindrome (256545652).

The spelling of 252124400 in words is "two hundred fifty-two million, one hundred twenty-four thousand, four hundred".