289091400 has 144 divisors (see below), whose sum is σ = 970763760. Its totient is φ = 71136000.

The previous prime is 289091389. The next prime is 289091417. The reversal of 289091400 is 4190982.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99975 + ... + 102825.

It is an arithmetic number, because the mean of its divisors is an integer number (6741415).

Almost surely, 2^289091400 is an apocalyptic number.

289091400 is a gapful number since it is divisible by the number (20) 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 289091400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485381880).

289091400 is an abundant number, since it is smaller than the sum of its proper divisors (681672360).

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

289091400 is a wasteful number, since it uses less digits than its factorization.

289091400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 289091400 is about 17002.6880227804. The cubic root of 289091400 is about 661.2185934724.

The spelling of 289091400 in words is "two hundred eighty-nine million, ninety-one thousand, four hundred".