289538900 has 144 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 90101760.

The previous prime is 289538869. The next prime is 289538933. The reversal of 289538900 is 9835982.

It is a super-2 number, since 2×289538900² = 167665549226420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344681 + ... + 345519.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^289538900 is an apocalyptic number.

289538900 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 289538900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

289538900 is an abundant number, since it is smaller than the sum of its proper divisors (497910700).

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

289538900 is a wasteful number, since it uses less digits than its factorization.

289538900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 289538900 is about 17015.8426179840. The cubic root of 289538900 is about 661.5595960923.

The spelling of 289538900 in words is "two hundred eighty-nine million, five hundred thirty-eight thousand, nine hundred".