289308240 has 160 divisors (see below), whose sum is σ = 1073264640. Its totient is φ = 71207424.

The previous prime is 289308221. The next prime is 289308289. The reversal of 289308240 is 42803982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 289308195 and 289308204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22929 + ... + 33231.

It is an arithmetic number, because the mean of its divisors is an integer number (6707904).

Almost surely, 2^289308240 is an apocalyptic number.

289308240 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 289308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536632320).

289308240 is an abundant number, since it is smaller than the sum of its proper divisors (783956400).

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

289308240 is a wasteful number, since it uses less digits than its factorization.

289308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 289308240 is about 17009.0634662817. The cubic root of 289308240 is about 661.3838731573.

The spelling of 289308240 in words is "two hundred eighty-nine million, three hundred eight thousand, two hundred forty".