972407352 has 96 divisors (see below), whose sum is σ = 2925536400. Its totient is φ = 268240896.

The previous prime is 972407351. The next prime is 972407353. The reversal of 972407352 is 253704279.

It is an interprime number because it is at equal distance from previous prime (972407351) and next prime (972407353).

It is a self number, because there is not a number n which added to its sum of digits gives 972407352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972407351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19848 + ... + 48360.

Almost surely, 2^972407352 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 972407352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462768200).

972407352 is an abundant number, since it is smaller than the sum of its proper divisors (1953129048).

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

972407352 is a wasteful number, since it uses less digits than its factorization.

972407352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28565 (or 28554 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 972407352 is about 31183.4467626656. The cubic root of 972407352 is about 990.7165346288.

The spelling of 972407352 in words is "nine hundred seventy-two million, four hundred seven thousand, three hundred fifty-two".