289409120 has 288 divisors, whose sum is σ = 929698560. Its totient is φ = 82667520.

The previous prime is 289409111. The next prime is 289409143. The reversal of 289409120 is 21904982.

289409120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082011 + ... + 2082149.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 2^289409120 is an apocalyptic number.

289409120 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 289409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464849280).

289409120 is an abundant number, since it is smaller than the sum of its proper divisors (640289440).

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

289409120 is a wasteful number, since it uses less digits than its factorization.

289409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 289409120 is about 17012.0286856095. The cubic root of 289409120 is about 661.4607377172.

The spelling of 289409120 in words is "two hundred eighty-nine million, four hundred nine thousand, one hundred twenty".