252458976 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 60211200.

The previous prime is 252458963. The next prime is 252459013. The reversal of 252458976 is 679854252.

252458976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6157516 + ... + 6157556.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^252458976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252458976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

252458976 is an abundant number, since it is smaller than the sum of its proper divisors (661998624).

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

252458976 is a wasteful number, since it uses less digits than its factorization.

252458976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 252458976 is about 15888.9576750648. The cubic root of 252458976 is about 632.0192003994.

The spelling of 252458976 in words is "two hundred fifty-two million, four hundred fifty-eight thousand, nine hundred seventy-six".