252750864 has 80 divisors (see below), whose sum is σ = 685670400. Its totient is φ = 80074368.

The previous prime is 252750859. The next prime is 252750871. The reversal of 252750864 is 468057252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196977 + ... + 198255.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2^252750864 is an apocalyptic number.

252750864 is a gapful number since it is divisible by the number (24) 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 252750864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

252750864 is an abundant number, since it is smaller than the sum of its proper divisors (432919536).

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

252750864 is a wasteful number, since it uses less digits than its factorization.

252750864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 252750864 is about 15898.1402685975. The cubic root of 252750864 is about 632.2626825578.

The spelling of 252750864 in words is "two hundred fifty-two million, seven hundred fifty thousand, eight hundred sixty-four".