973440000 has 495 divisors, whose sum is σ = 3803323953. Its totient is φ = 239616000.

The previous prime is 973439981. The next prime is 973440001. The reversal of 973440000 is 44379.

The square root of 973440000 is 31200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 961496064 + 11943936 = 31008^2 + 3456^2 .

It is not an unprimeable number, because it can be changed into a prime (973440001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74879994 + ... + 74880006.

Almost surely, 2^973440000 is an apocalyptic number.

973440000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

973440000 is the 31200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973440000

973440000 is an abundant number, since it is smaller than the sum of its proper divisors (2829883953).

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

973440000 is a wasteful number, since it uses less digits than its factorization.

973440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 973440000 is about 991.0671077066.

Adding to 973440000 its reverse (44379), we get a palindrome (973484379).

The spelling of 973440000 in words is "nine hundred seventy-three million, four hundred forty thousand".