252874464 has 24 divisors (see below), whose sum is σ = 663795720. Its totient is φ = 84291456.

The previous prime is 252874421. The next prime is 252874481. The reversal of 252874464 is 464478252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1316959 + ... + 1317150.

It is an arithmetic number, because the mean of its divisors is an integer number (27658155).

Almost surely, 2^252874464 is an apocalyptic number.

252874464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252874464 is an abundant number, since it is smaller than the sum of its proper divisors (410921256).

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

252874464 is a wasteful number, since it uses less digits than its factorization.

252874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634122 (or 2634114 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 252874464 is about 15902.0270406008. The cubic root of 252874464 is about 632.3657286050.

The spelling of 252874464 in words is "two hundred fifty-two million, eight hundred seventy-four thousand, four hundred sixty-four".