992870400 has 216 divisors, whose sum is σ = 3315584664. Its totient is φ = 262144000.

The previous prime is 992870399. The next prime is 992870447. The reversal of 992870400 is 4078299.

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, 9830350 + ... + 9830450.

It is an arithmetic number, because the mean of its divisors is an integer number (15349929).

Almost surely, 2^992870400 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 992870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657792332).

992870400 is an abundant number, since it is smaller than the sum of its proper divisors (2322714264).

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

992870400 is an equidigital number, since it uses as much as digits as its factorization.

992870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 992870400 is about 31509.8460802334. The cubic root of 992870400 is about 997.6177962783.

The spelling of 992870400 in words is "nine hundred ninety-two million, eight hundred seventy thousand, four hundred".