956482560 has 704 divisors, whose sum is σ = 4032426240. Its totient is φ = 212336640.

The previous prime is 956482547. The next prime is 956482561. The reversal of 956482560 is 65284659.

956482560 is a `hidden beast` number, since 9 + 5 + 6 + 4 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956482561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25850862 + ... + 25850898.

Almost surely, 2^956482560 is an apocalyptic number.

956482560 is a gapful number since it is divisible by the number (90) 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 956482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016213120).

956482560 is an abundant number, since it is smaller than the sum of its proper divisors (3075943680).

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

956482560 is a wasteful number, since it uses less digits than its factorization.

956482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 956482560 is about 30927.0522358663. The cubic root of 956482560 is about 985.2785284290.

The spelling of 956482560 in words is "nine hundred fifty-six million, four hundred eighty-two thousand, five hundred sixty".