972120400 has 60 divisors (see below), whose sum is σ = 2373866044. Its totient is φ = 382464000.

The previous prime is 972120377. The next prime is 972120419. The reversal of 972120400 is 4021279.

It can be written as a sum of positive squares in 6 ways, for example, as 268173376 + 703947024 = 16376^2 + 26532^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4480 + ... + 44320.

Almost surely, 2^972120400 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 972120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186933022).

972120400 is an abundant number, since it is smaller than the sum of its proper divisors (1401745644).

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

972120400 is a wasteful number, since it uses less digits than its factorization.

972120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39920 (or 39909 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 972120400 is about 31178.8453923490. The cubic root of 972120400 is about 990.6190733955.

Adding to 972120400 its reverse (4021279), we get a palindrome (976141679).

The spelling of 972120400 in words is "nine hundred seventy-two million, one hundred twenty thousand, four hundred".