989690400 has 252 divisors, whose sum is σ = 3624600042. Its totient is φ = 263761920.

The previous prime is 989690369. The next prime is 989690473. The reversal of 989690400 is 4096989.

It can be written as a sum of positive squares in 3 ways, for example, as 934158096 + 55532304 = 30564^2 + 7452^2 .

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

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 41 ways as a sum of consecutive naturals, for example, 582352 + ... + 584048.

Almost surely, 2^989690400 is an apocalyptic number.

989690400 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 989690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812300021).

989690400 is an abundant number, since it is smaller than the sum of its proper divisors (2634909642).

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

989690400 is a wasteful number, since it uses less digits than its factorization.

989690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 989690400 is about 31459.3451934397. The cubic root of 989690400 is about 996.5515887958.

The spelling of 989690400 in words is "nine hundred eighty-nine million, six hundred ninety thousand, four hundred".