974656000 has 160 divisors (see below), whose sum is σ = 2471060592. Its totient is φ = 383385600.

The previous prime is 974655991. The next prime is 974656049. The reversal of 974656000 is 656479.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 972441856 = 1488^2 + 31184^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6207922 + ... + 6208078.

Almost surely, 2^974656000 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 974656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235530296).

974656000 is an abundant number, since it is smaller than the sum of its proper divisors (1496404592).

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

974656000 is an equidigital number, since it uses as much as digits as its factorization.

974656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 974656000 is about 31219.4810975455. The cubic root of 974656000 is about 991.4796091244.

The spelling of 974656000 in words is "nine hundred seventy-four million, six hundred fifty-six thousand".