980890400 has 144 divisors (see below), whose sum is σ = 2763948096. Its totient is φ = 332958720.

The previous prime is 980890397. The next prime is 980890433. The reversal of 980890400 is 4098089.

980890400 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 23 ways as a sum of consecutive naturals, for example, 598382 + ... + 600018.

It is an arithmetic number, because the mean of its divisors is an integer number (19194084).

Almost surely, 2^980890400 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 980890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381974048).

980890400 is an abundant number, since it is smaller than the sum of its proper divisors (1783057696).

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

980890400 is a wasteful number, since it uses less digits than its factorization.

980890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 980890400 is about 31319.1698485129. The cubic root of 980890400 is about 993.5891218017.

The spelling of 980890400 in words is "nine hundred eighty million, eight hundred ninety thousand, four hundred".