957470976 has 432 divisors, whose sum is σ = 3607087680. Its totient is φ = 247726080.

The previous prime is 957470963. The next prime is 957470977. The reversal of 957470976 is 679074759.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (957470977) 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 47 ways as a sum of consecutive naturals, for example, 3725440 + ... + 3725696.

It is an arithmetic number, because the mean of its divisors is an integer number (8349740).

Almost surely, 2^957470976 is an apocalyptic number.

957470976 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 957470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803543840).

957470976 is an abundant number, since it is smaller than the sum of its proper divisors (2649616704).

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

957470976 is a wasteful number, since it uses less digits than its factorization.

957470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 957470976 is about 30943.0279061374. The cubic root of 957470976 is about 985.6178027087.

The spelling of 957470976 in words is "nine hundred fifty-seven million, four hundred seventy thousand, nine hundred seventy-six".