252766976 has 72 divisors (see below), whose sum is σ = 629094144. Its totient is φ = 98472960.

The previous prime is 252766961. The next prime is 252766991. The reversal of 252766976 is 679667252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252766961) and next prime (252766991).

It is a super-2 number, since 2×252766976² = 127782288312369152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13301 + ... + 26123.

Almost surely, 2^252766976 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 252766976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314547072).

252766976 is an abundant number, since it is smaller than the sum of its proper divisors (376327168).

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

252766976 is a wasteful number, since it uses less digits than its factorization.

252766976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12857 (or 12843 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 50.

The square root of 252766976 is about 15898.6469864577. The cubic root of 252766976 is about 632.2761171309.

The spelling of 252766976 in words is "two hundred fifty-two million, seven hundred sixty-six thousand, nine hundred seventy-six".