252778760 has 64 divisors (see below), whose sum is σ = 618695280. Its totient is φ = 92390400.

The previous prime is 252778733. The next prime is 252778781. The reversal of 252778760 is 67877252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 165431044 + 87347716 = 12862^2 + 9346^2 .

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, 50114 + ... + 54926.

Almost surely, 2^252778760 is an apocalyptic number.

252778760 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 252778760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309347640).

252778760 is an abundant number, since it is smaller than the sum of its proper divisors (365916520).

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

252778760 is a wasteful number, since it uses less digits than its factorization.

252778760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The square root of 252778760 is about 15899.0175797123. The cubic root of 252778760 is about 632.2859425520.

The spelling of 252778760 in words is "two hundred fifty-two million, seven hundred seventy-eight thousand, seven hundred sixty".