289400 has 24 divisors (see below), whose sum is σ = 673320. Its totient is φ = 115680.

The previous prime is 289397. The next prime is 289417. The reversal of 289400 is 4982.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 524 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (28055).

2²⁸⁹⁴⁰⁰ is an apocalyptic number.

289400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289400 is an abundant number, since it is smaller than the sum of its proper divisors (383920).

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

289400 is a wasteful number, since it uses less digits than its factorization.

289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 289400 is about 537.9591062525. The cubic root of 289400 is about 66.1453789554.

It can be divided in two parts, 289 and 400, that multiplied together give a square (115600 = 340²).

The spelling of 289400 in words is "two hundred eighty-nine thousand, four hundred".