252966912 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 72253440.

The previous prime is 252966907. The next prime is 252966929. The reversal of 252966912 is 219669252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283998 + ... + 1284194.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^252966912 is an apocalyptic number.

252966912 is a gapful number since it is divisible by the number (22) 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 252966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

252966912 is an abundant number, since it is smaller than the sum of its proper divisors (525410688).

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

252966912 is a wasteful number, since it uses less digits than its factorization.

252966912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 252966912 is about 15904.9335742090. The cubic root of 252966912 is about 632.4427810987.

The spelling of 252966912 in words is "two hundred fifty-two million, nine hundred sixty-six thousand, nine hundred twelve".