992474400 has 288 divisors, whose sum is σ = 3382283520. Its totient is φ = 252564480.

The previous prime is 992474381. The next prime is 992474447. The reversal of 992474400 is 4474299.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6088719 + ... + 6088881.

It is an arithmetic number, because the mean of its divisors is an integer number (11744040).

Almost surely, 2^992474400 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 992474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691141760).

992474400 is an abundant number, since it is smaller than the sum of its proper divisors (2389809120).

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

992474400 is a wasteful number, since it uses less digits than its factorization.

992474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 992474400 is about 31503.5617034011. The cubic root of 992474400 is about 997.4851474852.

The spelling of 992474400 in words is "nine hundred ninety-two million, four hundred seventy-four thousand, four hundred".