252671232 has 108 divisors (see below), whose sum is σ = 739437440. Its totient is φ = 76538880.

The previous prime is 252671227. The next prime is 252671239. The reversal of 252671232 is 232176252.

252671232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252671232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252671239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91569 + ... + 94287.

Almost surely, 2^252671232 is an apocalyptic number.

252671232 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 252671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369718720).

252671232 is an abundant number, since it is smaller than the sum of its proper divisors (486766208).

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

252671232 is a wasteful number, since it uses less digits than its factorization.

252671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2735 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 252671232 is about 15895.6356274293. The cubic root of 252671232 is about 632.1962750954.

The spelling of 252671232 in words is "two hundred fifty-two million, six hundred seventy-one thousand, two hundred thirty-two".