974945600 has 84 divisors (see below), whose sum is σ = 2444451804. Its totient is φ = 382586880.

The previous prime is 974945593. The next prime is 974945603. The reversal of 974945600 is 6549479.

It can be written as a sum of positive squares in 6 ways, for example, as 506944 + 974438656 = 712^2 + 31216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974945603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79052 + ... + 90548.

Almost surely, 2^974945600 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 974945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222225902).

974945600 is an abundant number, since it is smaller than the sum of its proper divisors (1469506204).

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

974945600 is a wasteful number, since it uses less digits than its factorization.

974945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 974945600 is about 31224.1188826843. The cubic root of 974945600 is about 991.5777990023.

The spelling of 974945600 in words is "nine hundred seventy-four million, nine hundred forty-five thousand, six hundred".