252812880 has 80 divisors (see below), whose sum is σ = 870807360. Its totient is φ = 67416192.

The previous prime is 252812863. The next prime is 252812887. The reversal of 252812880 is 88218252.

It is a happy number.

252812880 is a `hidden beast` number, since 2 + 528 + 128 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 (252812887) 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, 56362 + ... + 60681.

It is an arithmetic number, because the mean of its divisors is an integer number (10885092).

Almost surely, 2^252812880 is an apocalyptic number.

252812880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252812880 is an abundant number, since it is smaller than the sum of its proper divisors (617994480).

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

252812880 is a wasteful number, since it uses less digits than its factorization.

252812880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117065 (or 117053 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 252812880 is about 15900.0905657798. The cubic root of 252812880 is about 632.3143898601.

The spelling of 252812880 in words is "two hundred fifty-two million, eight hundred twelve thousand, eight hundred eighty".