252256896 has 128 divisors (see below), whose sum is σ = 760838400. Its totient is φ = 82243584.

The previous prime is 252256859. The next prime is 252256903. The reversal of 252256896 is 698652252.

It is a tau number, because it is divible by the number of its divisors (128).

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, 161656 + ... + 163208.

It is an arithmetic number, because the mean of its divisors is an integer number (5944050).

Almost surely, 2^252256896 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 252256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380419200).

252256896 is an abundant number, since it is smaller than the sum of its proper divisors (508581504).

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

252256896 is a wasteful number, since it uses less digits than its factorization.

252256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1605 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 252256896 is about 15882.5972687089. The cubic root of 252256896 is about 631.8505227863.

The spelling of 252256896 in words is "two hundred fifty-two million, two hundred fifty-six thousand, eight hundred ninety-six".