252730896 has 80 divisors (see below), whose sum is σ = 715454208. Its totient is φ = 76240000.

The previous prime is 252730883. The next prime is 252730903. The reversal of 252730896 is 698037252.

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 15 ways as a sum of consecutive naturals, for example, 131575 + ... + 133481.

Almost surely, 2^252730896 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 252730896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357727104).

252730896 is an abundant number, since it is smaller than the sum of its proper divisors (462723312).

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

252730896 is a wasteful number, since it uses less digits than its factorization.

252730896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 252730896 is about 15897.5122582120. The cubic root of 252730896 is about 632.2460319668.

The spelling of 252730896 in words is "two hundred fifty-two million, seven hundred thirty thousand, eight hundred ninety-six".