972998400 has 432 divisors, whose sum is σ = 3722761728. Its totient is φ = 221184000.

The previous prime is 972998387. The next prime is 972998407. The reversal of 972998400 is 4899279.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 972998400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972998407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590265 + ... + 3590535.

It is an arithmetic number, because the mean of its divisors is an integer number (8617504).

Almost surely, 2^972998400 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 972998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861380864).

972998400 is an abundant number, since it is smaller than the sum of its proper divisors (2749763328).

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

972998400 is a wasteful number, since it uses less digits than its factorization.

972998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 972998400 is about 31192.9222741314. The cubic root of 972998400 is about 990.9172195327.

The spelling of 972998400 in words is "nine hundred seventy-two million, nine hundred ninety-eight thousand, four hundred".