972556800 has 480 divisors, whose sum is σ = 3572152320. Its totient is φ = 232243200.

The previous prime is 972556799. The next prime is 972556801. The reversal of 972556800 is 8655279.

It is an interprime number because it is at equal distance from previous prime (972556799) and next prime (972556801).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (972556801) by changing a digit.

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, 22617579 + ... + 22617621.

It is an arithmetic number, because the mean of its divisors is an integer number (7441984).

Almost surely, 2^972556800 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 972556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786076160).

972556800 is an abundant number, since it is smaller than the sum of its proper divisors (2599595520).

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

972556800 is a wasteful number, since it uses less digits than its factorization.

972556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 972556800 is about 31185.8429419504. The cubic root of 972556800 is about 990.7672860003.

The spelling of 972556800 in words is "nine hundred seventy-two million, five hundred fifty-six thousand, eight hundred".