973982464 has 72 divisors (see below), whose sum is σ = 2392869920. Its totient is φ = 385302528.

The previous prime is 973982441. The next prime is 973982483. The reversal of 973982464 is 464289379.

It is a happy number.

It is a super-2 number, since 2×973982464² = 1897283680359022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2392 + ... + 44200.

Almost surely, 2^973982464 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 973982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196434960).

973982464 is an abundant number, since it is smaller than the sum of its proper divisors (1418887456).

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

973982464 is a wasteful number, since it uses less digits than its factorization.

973982464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41845 (or 41831 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 973982464 is about 31208.6921225482. The cubic root of 973982464 is about 991.2511691770.

The spelling of 973982464 in words is "nine hundred seventy-three million, nine hundred eighty-two thousand, four hundred sixty-four".