989476800 has 336 divisors, whose sum is σ = 3553126752. Its totient is φ = 239616000.

The previous prime is 989476793. The next prime is 989476801. The reversal of 989476800 is 8674989.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989476801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6302322 + ... + 6302478.

It is an arithmetic number, because the mean of its divisors is an integer number (10574782).

Almost surely, 2^989476800 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 989476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776563376).

989476800 is an abundant number, since it is smaller than the sum of its proper divisors (2563649952).

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

989476800 is a wasteful number, since it uses less digits than its factorization.

989476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 989476800 is about 31455.9501525546. The cubic root of 989476800 is about 996.4798900319.

The spelling of 989476800 in words is "nine hundred eighty-nine million, four hundred seventy-six thousand, eight hundred".