252656244 has 72 divisors (see below), whose sum is σ = 679016520. Its totient is φ = 78938112.

The previous prime is 252656237. The next prime is 252656249. The reversal of 252656244 is 442656252.

252656244 is a `hidden beast` number, since 2 + 5 + 26 + 5 + 624 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53846244 + 198810000 = 7338^2 + 14100^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 252656199 and 252656208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252656249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178612 + ... + 180020.

It is an arithmetic number, because the mean of its divisors is an integer number (9430785).

Almost surely, 2^252656244 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 252656244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339508260).

252656244 is an abundant number, since it is smaller than the sum of its proper divisors (426360276).

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

252656244 is a wasteful number, since it uses less digits than its factorization.

252656244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1724 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 252656244 is about 15895.1641702752. The cubic root of 252656244 is about 632.1837746021.

The spelling of 252656244 in words is "two hundred fifty-two million, six hundred fifty-six thousand, two hundred forty-four".