252791808 has 176 divisors, whose sum is σ = 731024640. Its totient is φ = 77414400.

The previous prime is 252791743. The next prime is 252791809. The reversal of 252791808 is 808197252.

It is a self number, because there is not a number n which added to its sum of digits gives 252791808.

It is not an unprimeable number, because it can be changed into a prime (252791809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3560413 + ... + 3560483.

Almost surely, 2^252791808 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 252791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365512320).

252791808 is an abundant number, since it is smaller than the sum of its proper divisors (478232832).

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

252791808 is a wasteful number, since it uses less digits than its factorization.

252791808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 252791808 is about 15899.4279142364. The cubic root of 252791808 is about 632.2968215318.

The spelling of 252791808 in words is "two hundred fifty-two million, seven hundred ninety-one thousand, eight hundred eight".