989222400 has 360 divisors, whose sum is σ = 3667545024. Its totient is φ = 254361600.

The previous prime is 989222363. The next prime is 989222407. The reversal of 989222400 is 4222989.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989222407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3571062 + ... + 3571338.

Almost surely, 2^989222400 is an apocalyptic number.

989222400 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 989222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833772512).

989222400 is an abundant number, since it is smaller than the sum of its proper divisors (2678322624).

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

989222400 is a wasteful number, since it uses less digits than its factorization.

989222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 989222400 is about 31451.9061425536. The cubic root of 989222400 is about 996.3944825341.

The spelling of 989222400 in words is "nine hundred eighty-nine million, two hundred twenty-two thousand, four hundred".