252294400 has 108 divisors (see below), whose sum is σ = 633640000. Its totient is φ = 99440640.

The previous prime is 252294397. The next prime is 252294421. The reversal of 252294400 is 4492252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505351 + ... + 505849.

Almost surely, 2^252294400 is an apocalyptic number.

252294400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316820000).

252294400 is an abundant number, since it is smaller than the sum of its proper divisors (381345600).

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

252294400 is an equidigital number, since it uses as much as digits as its factorization.

252294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 252294400 is about 15883.7778881474. Note that the first 3 decimals coincide. The cubic root of 252294400 is about 631.8818344480.

The spelling of 252294400 in words is "two hundred fifty-two million, two hundred ninety-four thousand, four hundred".