289440 has 96 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 76032.

The previous prime is 289439. The next prime is 289453. The reversal of 289440 is 44982.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4287 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2²⁸⁹⁴⁴⁰ is an apocalyptic number.

289440 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 289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

289440 is an abundant number, since it is smaller than the sum of its proper divisors (738720).

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

289440 is a wasteful number, since it uses less digits than its factorization.

289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 289440 is about 537.9962825150. The cubic root of 289440 is about 66.1484262870.

It can be divided in two parts, 289 and 440, that added together give a 6-th power (729 = 3⁶).

The spelling of 289440 in words is "two hundred eighty-nine thousand, four hundred forty".