974540800 has 156 divisors (see below), whose sum is σ = 2502645376. Its totient is φ = 376012800.

The previous prime is 974540779. The next prime is 974540803. The reversal of 974540800 is 8045479.

It is a self number, because there is not a number n which added to its sum of digits gives 974540800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974540803) 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, 3174247 + ... + 3174553.

Almost surely, 2^974540800 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 974540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251322688).

974540800 is an abundant number, since it is smaller than the sum of its proper divisors (1528104576).

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

974540800 is a wasteful number, since it uses less digits than its factorization.

974540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 974540800 is about 31217.6360411867. The cubic root of 974540800 is about 991.4405447601.

The spelling of 974540800 in words is "nine hundred seventy-four million, five hundred forty thousand, eight hundred".