252990400 has 84 divisors (see below), whose sum is σ = 670455352. Its totient is φ = 93404160.

The previous prime is 252990341. The next prime is 252990401. The reversal of 252990400 is 4099252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252990401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14719 + ... + 26881.

Almost surely, 2^252990400 is an apocalyptic number.

252990400 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 252990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335227676).

252990400 is an abundant number, since it is smaller than the sum of its proper divisors (417464952).

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

252990400 is a wasteful number, since it uses less digits than its factorization.

252990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12198 (or 12183 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 252990400 is about 15905.6719443097. The cubic root of 252990400 is about 632.4623546155.

It can be divided in two parts, 2529 and 90400, that added together give a palindrome (92929).

The spelling of 252990400 in words is "two hundred fifty-two million, nine hundred ninety thousand, four hundred".