984480000 has 360 divisors, whose sum is σ = 3754648128. Its totient is φ = 224256000.

The previous prime is 984479941. The next prime is 984480011. The reversal of 984480000 is 84489.

984480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359854 + ... + 3360146.

Almost surely, 2^984480000 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 984480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877324064).

984480000 is an abundant number, since it is smaller than the sum of its proper divisors (2770168128).

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

984480000 is an equidigital number, since it uses as much as digits as its factorization.

984480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 984480000 is about 31376.4242704614. The cubic root of 984480000 is about 994.7996701140.

The spelling of 984480000 in words is "nine hundred eighty-four million, four hundred eighty thousand".