252990408 has 64 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 76507200.

The previous prime is 252990401. The next prime is 252990427. The reversal of 252990408 is 804099252.

252990408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254793 + ... + 255783.

It is an arithmetic number, because the mean of its divisors is an integer number (10802880).

Almost surely, 2^252990408 is an apocalyptic number.

It is an amenable number.

252990408 is an abundant number, since it is smaller than the sum of its proper divisors (438393912).

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

252990408 is a wasteful number, since it uses less digits than its factorization.

252990408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 252990408 is about 15905.6721957923. The cubic root of 252990408 is about 632.4623612820.

The spelling of 252990408 in words is "two hundred fifty-two million, nine hundred ninety thousand, four hundred eight".