974304000 has 432 divisors, whose sum is σ = 3730708800. Its totient is φ = 243302400.

The previous prime is 974303999. The next prime is 974304013. The reversal of 974304000 is 403479.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895901 + ... + 4896099.

It is an arithmetic number, because the mean of its divisors is an integer number (8635900).

Almost surely, 2^974304000 is an apocalyptic number.

974304000 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 974304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865354400).

974304000 is an abundant number, since it is smaller than the sum of its proper divisors (2756404800).

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

974304000 is a wasteful number, since it uses less digits than its factorization.

974304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 974304000 is about 31213.8430828375. The cubic root of 974304000 is about 991.3602361200.

Adding to 974304000 its reverse (403479), we get a palindrome (974707479).

The spelling of 974304000 in words is "nine hundred seventy-four million, three hundred four thousand".