972708400 has 60 divisors (see below), whose sum is σ = 2341334272. Its totient is φ = 388350720.

The previous prime is 972708389. The next prime is 972708403. The reversal of 972708400 is 4807279.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 972708400.

It is not an unprimeable number, because it can be changed into a prime (972708403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243217 + ... + 247183.

Almost surely, 2^972708400 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 972708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170667136).

972708400 is an abundant number, since it is smaller than the sum of its proper divisors (1368625872).

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

972708400 is a wasteful number, since it uses less digits than its factorization.

972708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 972708400 is about 31188.2734373033. The cubic root of 972708400 is about 990.8187628624.

The spelling of 972708400 in words is "nine hundred seventy-two million, seven hundred eight thousand, four hundred".