252658432 has 108 divisors (see below), whose sum is σ = 568313760. Its totient is φ = 111421440.

The previous prime is 252658421. The next prime is 252658433. The reversal of 252658432 is 234856252.

It is a junction number, because it is equal to n+sod(n) for n = 252658391 and 252658400.

It is not an unprimeable number, because it can be changed into a prime (252658433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3198169 + ... + 3198247.

Almost surely, 2^252658432 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 252658432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284156880).

252658432 is an abundant number, since it is smaller than the sum of its proper divisors (315655328).

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

252658432 is an equidigital number, since it uses as much as digits as its factorization.

252658432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 252658432 is about 15895.2329960904. The cubic root of 252658432 is about 632.1855994981.

The spelling of 252658432 in words is "two hundred fifty-two million, six hundred fifty-eight thousand, four hundred thirty-two".