252752832 has 112 divisors (see below), whose sum is σ = 750539520. Its totient is φ = 83402496.

The previous prime is 252752771. The next prime is 252752849. The reversal of 252752832 is 238257252.

It is a happy number.

252752832 is a `hidden beast` number, since 2 + 527 + 52 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 184213 + ... + 185579.

Almost surely, 2^252752832 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 252752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375269760).

252752832 is an abundant number, since it is smaller than the sum of its proper divisors (497786688).

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

252752832 is a wasteful number, since it uses less digits than its factorization.

252752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1479 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 252752832 is about 15898.2021625088. The cubic root of 252752832 is about 632.2643235541.

The spelling of 252752832 in words is "two hundred fifty-two million, seven hundred fifty-two thousand, eight hundred thirty-two".