289416 has 32 divisors (see below), whose sum is σ = 748800. Its totient is φ = 93120.

The previous prime is 289397. The next prime is 289417. The reversal of 289416 is 614982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289417) by changing a digit.

289416 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 550 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2²⁸⁹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374400).

289416 is an abundant number, since it is smaller than the sum of its proper divisors (459384).

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

289416 is a wasteful number, since it uses less digits than its factorization.

289416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 289416 is about 537.9739770658. The cubic root of 289416 is about 66.1465979217.

The spelling of 289416 in words is "two hundred eighty-nine thousand, four hundred sixteen".