972417200 has 60 divisors (see below), whose sum is σ = 2339958120. Its totient is φ = 388346880.

The previous prime is 972417151. The next prime is 972417203. The reversal of 972417200 is 2714279.

It is not an unprimeable number, because it can be changed into a prime (972417203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313256 + ... + 316344.

It is an arithmetic number, because the mean of its divisors is an integer number (38999302).

Almost surely, 2^972417200 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 972417200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169979060).

972417200 is an abundant number, since it is smaller than the sum of its proper divisors (1367540920).

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

972417200 is a wasteful number, since it uses less digits than its factorization.

972417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 972417200 is about 31183.6046665551. The cubic root of 972417200 is about 990.7198790926.

The spelling of 972417200 in words is "nine hundred seventy-two million, four hundred seventeen thousand, two hundred".