974634400 has 72 divisors (see below), whose sum is σ = 2401369740. Its totient is φ = 386242560.

The previous prime is 974634377. The next prime is 974634413. The reversal of 974634400 is 4436479.

It can be written as a sum of positive squares in 6 ways, for example, as 651066256 + 323568144 = 25516^2 + 17988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 974634400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81612 + ... + 92788.

Almost surely, 2^974634400 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 974634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200684870).

974634400 is an abundant number, since it is smaller than the sum of its proper divisors (1426735340).

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

974634400 is a wasteful number, since it uses less digits than its factorization.

974634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 11293 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 974634400 is about 31219.1351577842. The cubic root of 974634400 is about 991.4722847906.

The spelling of 974634400 in words is "nine hundred seventy-four million, six hundred thirty-four thousand, four hundred".