974688400 has 135 divisors (see below), whose sum is σ = 2736275481. Its totient is φ = 332680320.

The previous prime is 974688389. The next prime is 974688419. The reversal of 974688400 is 4886479.

It is a happy number.

The square root of 974688400 is 31220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 350887824 + 623800576 = 18732^2 + 24976^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4370689 + ... + 4370911.

Almost surely, 2^974688400 is an apocalyptic number.

974688400 is the 31220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974688400

974688400 is an abundant number, since it is smaller than the sum of its proper divisors (1761587081).

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

974688400 is a wasteful number, since it uses less digits than its factorization.

974688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The cubic root of 974688400 is about 991.4905954223.

The spelling of 974688400 in words is "nine hundred seventy-four million, six hundred eighty-eight thousand, four hundred".