989988480 has 480 divisors, whose sum is σ = 3862182060. Its totient is φ = 241532928.

The previous prime is 989988451. The next prime is 989988481. The reversal of 989988480 is 84889989.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 989983296 = 72^2 + 31464^2 .

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

It is not an unprimeable number, because it can be changed into a prime (989988481) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8760904 + ... + 8761016.

Almost surely, 2^989988480 is an apocalyptic number.

989988480 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 989988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931091030).

989988480 is an abundant number, since it is smaller than the sum of its proper divisors (2872193580).

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

989988480 is a wasteful number, since it uses less digits than its factorization.

989988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The square root of 989988480 is about 31464.0823797549. The cubic root of 989988480 is about 996.6516275824.

The spelling of 989988480 in words is "nine hundred eighty-nine million, nine hundred eighty-eight thousand, four hundred eighty".