252805760 has 128 divisors (see below), whose sum is σ = 639478800. Its totient is φ = 95420416.

The previous prime is 252805757. The next prime is 252805781. The reversal of 252805760 is 67508252.

It can be written as a sum of positive squares in 8 ways, for example, as 214563904 + 38241856 = 14648^2 + 6184^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 252805760.

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, 983552 + ... + 983808.

Almost surely, 2^252805760 is an apocalyptic number.

252805760 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 252805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319739400).

252805760 is an abundant number, since it is smaller than the sum of its proper divisors (386673040).

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

252805760 is a wasteful number, since it uses less digits than its factorization.

252805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 252805760 is about 15899.8666661076. The cubic root of 252805760 is about 632.3084538219.

The spelling of 252805760 in words is "two hundred fifty-two million, eight hundred five thousand, seven hundred sixty".