252664632 has 192 divisors, whose sum is σ = 792529920. Its totient is φ = 72000000.

The previous prime is 252664619. The next prime is 252664639. The reversal of 252664632 is 236466252.

252664632 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 646 + 3 + 2 = 666.

252664632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252664639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006507 + ... + 1006757.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^252664632 is an apocalyptic number.

252664632 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 252664632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

252664632 is an abundant number, since it is smaller than the sum of its proper divisors (539865288).

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

252664632 is a wasteful number, since it uses less digits than its factorization.

252664632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 339 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 252664632 is about 15895.4280219188. The cubic root of 252664632 is about 632.1907705356.

The spelling of 252664632 in words is "two hundred fifty-two million, six hundred sixty-four thousand, six hundred thirty-two".