972945504400 has 135 divisors (see below), whose sum is σ = 2360425923723. Its totient is φ = 385398393600.

The previous prime is 972945504397. The next prime is 972945504407. The reversal of 972945504400 is 4405549279.

It is a happy number.

The square root of 972945504400 is 986380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 290378721424 + 682566782976 = 538868^2 + 826176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972945504407) 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 26 ways as a sum of consecutive naturals, for example, 2939412235 + ... + 2939412565.

Almost surely, 2^972945504400 is an apocalyptic number.

972945504400 is the 986380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972945504400

972945504400 is an abundant number, since it is smaller than the sum of its proper divisors (1387480419323).

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

972945504400 is an equidigital number, since it uses as much as digits as its factorization.

972945504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 972945504400 by its sum of digits (49), we get a square (47674329715600 = 6904660²).

The spelling of 972945504400 in words is "nine hundred seventy-two billion, nine hundred forty-five million, five hundred four thousand, four hundred".