972978240 has 224 divisors, whose sum is σ = 3391911936. Its totient is φ = 234823680.

The previous prime is 972978211. The next prime is 972978271. The reversal of 972978240 is 42879279.

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 972978240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660705 + ... + 662175.

It is an arithmetic number, because the mean of its divisors is an integer number (15142464).

Almost surely, 2^972978240 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 972978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695955968).

972978240 is an abundant number, since it is smaller than the sum of its proper divisors (2418933696).

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

972978240 is a wasteful number, since it uses less digits than its factorization.

972978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 972978240 is about 31192.5991222277. The cubic root of 972978240 is about 990.9103757294.

The spelling of 972978240 in words is "nine hundred seventy-two million, nine hundred seventy-eight thousand, two hundred forty".