972452044800 has 1260 divisors, whose sum is σ = 3783392803278. Its totient is φ = 246841344000.

The previous prime is 972452044793. The next prime is 972452044843. The reversal of 972452044800 is 8440254279.

972452044800 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 520 + 44 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 436487491584 + 535964553216 = 660672^2 + 732096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 15941836770 + ... + 15941836830.

Almost surely, 2^972452044800 is an apocalyptic number.

972452044800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972452044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891696401639).

972452044800 is an abundant number, since it is smaller than the sum of its proper divisors (2810940758478).

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

972452044800 is an equidigital number, since it uses as much as digits as its factorization.

972452044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 972452044800 in words is "nine hundred seventy-two billion, four hundred fifty-two million, forty-four thousand, eight hundred".