974668800 has 528 divisors, whose sum is σ = 3858185600. Its totient is φ = 216760320.

The previous prime is 974668753. The next prime is 974668811. The reversal of 974668800 is 8866479.

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

It is a self number, because there is not a number n which added to its sum of digits gives 974668800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26342382 + ... + 26342418.

Almost surely, 2^974668800 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 974668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929092800).

974668800 is an abundant number, since it is smaller than the sum of its proper divisors (2883516800).

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

974668800 is a wasteful number, since it uses less digits than its factorization.

974668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 974668800 is about 31219.6860970766. The cubic root of 974668800 is about 991.4839494194.

The spelling of 974668800 in words is "nine hundred seventy-four million, six hundred sixty-eight thousand, eight hundred".