992476800 has 480 divisors, whose sum is σ = 4193317920. Its totient is φ = 226437120.

The previous prime is 992476747. The next prime is 992476817. The reversal of 992476800 is 8674299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814127 + ... + 1814673.

It is an arithmetic number, because the mean of its divisors is an integer number (8736079).

Almost surely, 2^992476800 is an apocalyptic number.

992476800 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 992476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096658960).

992476800 is an abundant number, since it is smaller than the sum of its proper divisors (3200841120).

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

992476800 is a wasteful number, since it uses less digits than its factorization.

992476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 992476800 is about 31503.5997943092. The cubic root of 992476800 is about 997.4859515236.

The spelling of 992476800 in words is "nine hundred ninety-two million, four hundred seventy-six thousand, eight hundred".