972290400 has 216 divisors, whose sum is σ = 3257338392. Its totient is φ = 251904000.

The previous prime is 972290393. The next prime is 972290413. The reversal of 972290400 is 4092279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4034280 + ... + 4034520.

Almost surely, 2^972290400 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 972290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628669196).

972290400 is an abundant number, since it is smaller than the sum of its proper divisors (2285047992).

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

972290400 is a wasteful number, since it uses less digits than its factorization.

972290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 972290400 is about 31181.5714806037. The cubic root of 972290400 is about 990.6768150177.

The spelling of 972290400 in words is "nine hundred seventy-two million, two hundred ninety thousand, four hundred".