957946080 has 432 divisors, whose sum is σ = 3816744624. Its totient is φ = 201277440.

The previous prime is 957946079. The next prime is 957946109. The reversal of 957946080 is 80649759.

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 71 ways as a sum of consecutive naturals, for example, 3974760 + ... + 3975000.

It is an arithmetic number, because the mean of its divisors is an integer number (8835057).

Almost surely, 2^957946080 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 957946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908372312).

957946080 is an abundant number, since it is smaller than the sum of its proper divisors (2858798544).

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

957946080 is a wasteful number, since it uses less digits than its factorization.

957946080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 957946080 is about 30950.7040307648. The cubic root of 957946080 is about 985.7807993044.

The spelling of 957946080 in words is "nine hundred fifty-seven million, nine hundred forty-six thousand, eighty".