974131200 has 468 divisors, whose sum is σ = 4013983168. Its totient is φ = 221184000.

The previous prime is 974131129. The next prime is 974131211. The reversal of 974131200 is 2131479.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6451125 + ... + 6451275.

Almost surely, 2^974131200 is an apocalyptic number.

974131200 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 974131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006991584).

974131200 is an abundant number, since it is smaller than the sum of its proper divisors (3039851968).

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

974131200 is a wasteful number, since it uses less digits than its factorization.

974131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 974131200 is about 31211.0749574570. The cubic root of 974131200 is about 991.3016243050.

Adding to 974131200 its reverse (2131479), we get a palindrome (976262679).

The spelling of 974131200 in words is "nine hundred seventy-four million, one hundred thirty-one thousand, two hundred".