252788160 has 112 divisors (see below), whose sum is σ = 844905600. Its totient is φ = 63857664.

The previous prime is 252788143. The next prime is 252788161. The reversal of 252788160 is 61887252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252788161) 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 15 ways as a sum of consecutive naturals, for example, 11311 + ... + 25169.

It is an arithmetic number, because the mean of its divisors is an integer number (7543800).

Almost surely, 2^252788160 is an apocalyptic number.

252788160 is a gapful number since it is divisible by the number (20) 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 252788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422452800).

252788160 is an abundant number, since it is smaller than the sum of its proper divisors (592117440).

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

252788160 is a wasteful number, since it uses less digits than its factorization.

252788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13888 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 252788160 is about 15899.3131927137. The cubic root of 252788160 is about 632.2937799908.

The spelling of 252788160 in words is "two hundred fifty-two million, seven hundred eighty-eight thousand, one hundred sixty".