252435968 has 40 divisors (see below), whose sum is σ = 510845280. Its totient is φ = 124620288.

The previous prime is 252435959. The next prime is 252435973. The reversal of 252435968 is 869534252.

The cubic root of 252435968 is 632.

It is a perfect power (a cube), and thus also a powerful number.

Its product of digits (518400) is a multiple of the sum of its prime divisors (81).

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, 3195353 + ... + 3195431.

It is an arithmetic number, because the mean of its divisors is an integer number (12771132).

Almost surely, 2^252435968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255422640).

252435968 is an abundant number, since it is smaller than the sum of its proper divisors (258409312).

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

252435968 is an frugal number, since it uses more digits than its factorization.

252435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 81 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 252435968 is about 15888.2336337303.

The spelling of 252435968 in words is "two hundred fifty-two million, four hundred thirty-five thousand, nine hundred sixty-eight".