289961224 has 64 divisors (see below), whose sum is σ = 638064000. Its totient is φ = 123480000.

The previous prime is 289961219. The next prime is 289961233. The reversal of 289961224 is 422169982.

It is a happy number.

289961224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×289961224² = 168155022847156352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688534 + ... + 688954.

It is an arithmetic number, because the mean of its divisors is an integer number (9969750).

Almost surely, 2^289961224 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 289961224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319032000).

289961224 is an abundant number, since it is smaller than the sum of its proper divisors (348102776).

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

289961224 is a wasteful number, since it uses less digits than its factorization.

289961224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 681 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 289961224 is about 17028.2478253049. The cubic root of 289961224 is about 661.8810920564.

The spelling of 289961224 in words is "two hundred eighty-nine million, nine hundred sixty-one thousand, two hundred twenty-four".