957278976 has 216 divisors, whose sum is σ = 2861436480. Its totient is φ = 283262976.

The previous prime is 957278899. The next prime is 957278981. The reversal of 957278976 is 679872759.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4216975 + ... + 4217201.

Almost surely, 2^957278976 is an apocalyptic number.

957278976 is a gapful number since it is divisible by the number (96) 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 957278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430718240).

957278976 is an abundant number, since it is smaller than the sum of its proper divisors (1904157504).

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

957278976 is a wasteful number, since it uses less digits than its factorization.

957278976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 60.

The square root of 957278976 is about 30939.9252746350. The cubic root of 957278976 is about 985.5519168930.

The spelling of 957278976 in words is "nine hundred fifty-seven million, two hundred seventy-eight thousand, nine hundred seventy-six".