252886760 has 64 divisors (see below), whose sum is σ = 657054720. Its totient is φ = 85800960.

The previous prime is 252886759. The next prime is 252886763. The reversal of 252886760 is 67688252.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252886763) 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, 22505 + ... + 31815.

It is an arithmetic number, because the mean of its divisors is an integer number (10266480).

Almost surely, 2^252886760 is an apocalyptic number.

252886760 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 252886760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328527360).

252886760 is an abundant number, since it is smaller than the sum of its proper divisors (404167960).

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

252886760 is a wasteful number, since it uses less digits than its factorization.

252886760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 252886760 is about 15902.4136532792. The cubic root of 252886760 is about 632.3759780161.

The spelling of 252886760 in words is "two hundred fifty-two million, eight hundred eighty-six thousand, seven hundred sixty".