252986976 has 240 divisors, whose sum is σ = 856215360. Its totient is φ = 72472320.

The previous prime is 252986971. The next prime is 252986977. The reversal of 252986976 is 679689252.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252986971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 541495 + ... + 541961.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^252986976 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 252986976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

252986976 is an abundant number, since it is smaller than the sum of its proper divisors (603228384).

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

252986976 is a wasteful number, since it uses less digits than its factorization.

252986976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 252986976 is about 15905.5643093856. The cubic root of 252986976 is about 632.4595013309.

The spelling of 252986976 in words is "two hundred fifty-two million, nine hundred eighty-six thousand, nine hundred seventy-six".