970653456 has 100 divisors (see below), whose sum is σ = 2957288400. Its totient is φ = 306514368.

The previous prime is 970653451. The next prime is 970653457. The reversal of 970653456 is 654356079.

It is not an unprimeable number, because it can be changed into a prime (970653451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4915 + ... + 44333.

It is an arithmetic number, because the mean of its divisors is an integer number (29572884).

Almost surely, 2^970653456 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 970653456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478644200).

970653456 is an abundant number, since it is smaller than the sum of its proper divisors (1986634944).

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

970653456 is a wasteful number, since it uses less digits than its factorization.

970653456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39458 (or 39443 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 970653456 is about 31155.3118424451. The cubic root of 970653456 is about 990.1205362878.

The spelling of 970653456 in words is "nine hundred seventy million, six hundred fifty-three thousand, four hundred fifty-six".