252912768 has 64 divisors (see below), whose sum is σ = 673461120. Its totient is φ = 84096000.

The previous prime is 252912697. The next prime is 252912773. The reversal of 252912768 is 867219252.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287946 + ... + 288822.

It is an arithmetic number, because the mean of its divisors is an integer number (10522830).

Almost surely, 2^252912768 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 252912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336730560).

252912768 is an abundant number, since it is smaller than the sum of its proper divisors (420548352).

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

252912768 is an equidigital number, since it uses as much as digits as its factorization.

252912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1633 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 252912768 is about 15903.2313697563. The cubic root of 252912768 is about 632.3976560597.

The spelling of 252912768 in words is "two hundred fifty-two million, nine hundred twelve thousand, seven hundred sixty-eight".