252557760 has 448 divisors, whose sum is σ = 1024128000. Its totient is φ = 52383744.

The previous prime is 252557749. The next prime is 252557777. The reversal of 252557760 is 67755252.

252557760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4280611 + ... + 4280669.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^252557760 is an apocalyptic number.

252557760 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 252557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

252557760 is an abundant number, since it is smaller than the sum of its proper divisors (771570240).

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

252557760 is a wasteful number, since it uses less digits than its factorization.

252557760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 39.

The square root of 252557760 is about 15892.0659449928. The cubic root of 252557760 is about 632.1016233529.

The spelling of 252557760 in words is "two hundred fifty-two million, five hundred fifty-seven thousand, seven hundred sixty".