289940 has 48 divisors (see below), whose sum is σ = 739200. Its totient is φ = 93312.

The previous prime is 289937. The next prime is 289951. The reversal of 289940 is 49982.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 289897 and 289906.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2²⁸⁹⁹⁴⁰ is an apocalyptic number.

289940 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 289940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369600).

289940 is an abundant number, since it is smaller than the sum of its proper divisors (449260).

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

289940 is a wasteful number, since it uses less digits than its factorization.

289940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 289940 is about 538.4607692302. The cubic root of 289940 is about 66.1864942648.

The spelling of 289940 in words is "two hundred eighty-nine thousand, nine hundred forty".