252568404 has 72 divisors (see below), whose sum is σ = 699360480. Its totient is φ = 76219200.

The previous prime is 252568403. The next prime is 252568411. The reversal of 252568404 is 404865252.

It is a happy number.

252568404 is a `hidden beast` number, since 2 + 52 + 568 + 40 + 4 = 666.

252568404 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 (252568403) 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, 105339 + ... + 107709.

It is an arithmetic number, because the mean of its divisors is an integer number (9713340).

Almost surely, 2^252568404 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 252568404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349680240).

252568404 is an abundant number, since it is smaller than the sum of its proper divisors (446792076).

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

252568404 is a wasteful number, since it uses less digits than its factorization.

252568404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 252568404 is about 15892.4008255518. The cubic root of 252568404 is about 632.1105031635.

The spelling of 252568404 in words is "two hundred fifty-two million, five hundred sixty-eight thousand, four hundred four".