956880480 has 96 divisors (see below), whose sum is σ = 3041992800. Its totient is φ = 252813312.

The previous prime is 956880437. The next prime is 956880481. The reversal of 956880480 is 84088659.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956880481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43176 + ... + 61464.

It is an arithmetic number, because the mean of its divisors is an integer number (31687425).

Almost surely, 2^956880480 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 956880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520996400).

956880480 is an abundant number, since it is smaller than the sum of its proper divisors (2085112320).

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

956880480 is a wasteful number, since it uses less digits than its factorization.

956880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 956880480 is about 30933.4847697443. The cubic root of 956880480 is about 985.4151427601.

The spelling of 956880480 in words is "nine hundred fifty-six million, eight hundred eighty thousand, four hundred eighty".