973404960 has 384 divisors, whose sum is σ = 3646218240. Its totient is φ = 215654400.

The previous prime is 973404947. The next prime is 973404961. The reversal of 973404960 is 69404379.

It is not an unprimeable number, because it can be changed into a prime (973404961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3109764 + ... + 3110076.

It is an arithmetic number, because the mean of its divisors is an integer number (9495360).

Almost surely, 2^973404960 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 973404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823109120).

973404960 is an abundant number, since it is smaller than the sum of its proper divisors (2672813280).

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

973404960 is a wasteful number, since it uses less digits than its factorization.

973404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 973404960 is about 31199.4384564851. The cubic root of 973404960 is about 991.0552160618.

The spelling of 973404960 in words is "nine hundred seventy-three million, four hundred four thousand, nine hundred sixty".