972002304 has 528 divisors, whose sum is σ = 3695735680. Its totient is φ = 238878720.

The previous prime is 972002281. The next prime is 972002327. The reversal of 972002304 is 403200279.

It is an interprime number because it is at equal distance from previous prime (972002281) and next prime (972002327).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15934434 + ... + 15934494.

Almost surely, 2^972002304 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 972002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847867840).

972002304 is an abundant number, since it is smaller than the sum of its proper divisors (2723733376).

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

972002304 is a wasteful number, since it uses less digits than its factorization.

972002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 972002304 is about 31176.9514866351. The cubic root of 972002304 is about 990.5789573468.

The spelling of 972002304 in words is "nine hundred seventy-two million, two thousand, three hundred four".