1989338400 has 576 divisors, whose sum is σ = 8399462400. Its totient is φ = 444994560.

The previous prime is 1989338357. The next prime is 1989338441. The reversal of 1989338400 is 48339891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8920689 + ... + 8920911.

It is an arithmetic number, because the mean of its divisors is an integer number (14582400).

Almost surely, 2^1989338400 is an apocalyptic number.

1989338400 is a gapful number since it is divisible by the number (10) 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 1989338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199731200).

1989338400 is an abundant number, since it is smaller than the sum of its proper divisors (6410124000).

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

1989338400 is a wasteful number, since it uses less digits than its factorization.

1989338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1989338400 is about 44601.9999551590. Note that the first 4 decimals coincide. The cubic root of 1989338400 is about 1257.6782641696.

The spelling of 1989338400 in words is "one billion, nine hundred eighty-nine million, three hundred thirty-eight thousand, four hundred".