252420864 has 72 divisors (see below), whose sum is σ = 678542592. Its totient is φ = 83297280.

The previous prime is 252420851. The next prime is 252420877. The reversal of 252420864 is 468024252.

It is an interprime number because it is at equal distance from previous prime (252420851) and next prime (252420877).

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 7 ways as a sum of consecutive naturals, for example, 77509 + ... + 80699.

Almost surely, 2^252420864 is an apocalyptic number.

252420864 is a gapful number since it is divisible by the number (24) 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 252420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339271296).

252420864 is an abundant number, since it is smaller than the sum of its proper divisors (426121728).

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

252420864 is a wasteful number, since it uses less digits than its factorization.

252420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 252420864 is about 15887.7583063187. The cubic root of 252420864 is about 631.9873949310.

The spelling of 252420864 in words is "two hundred fifty-two million, four hundred twenty thousand, eight hundred sixty-four".