992390400 has 216 divisors, whose sum is σ = 3639628160. Its totient is φ = 264591360.

The previous prime is 992390341. The next prime is 992390401. The reversal of 992390400 is 4093299.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169929 + ... + 175671.

Almost surely, 2^992390400 is an apocalyptic number.

992390400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819814080).

992390400 is an abundant number, since it is smaller than the sum of its proper divisors (2647237760).

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

992390400 is a wasteful number, since it uses less digits than its factorization.

992390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 992390400 is about 31502.2284926003. The cubic root of 992390400 is about 997.4570053265.

The spelling of 992390400 in words is "nine hundred ninety-two million, three hundred ninety thousand, four hundred".