289972224 has 280 divisors, whose sum is σ = 951524640. Its totient is φ = 87588864.

The previous prime is 289972217. The next prime is 289972229. The reversal of 289972224 is 422279982.

It is a self number, because there is not a number n which added to its sum of digits gives 289972224.

It is not an unprimeable number, because it can be changed into a prime (289972229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12607477 + ... + 12607499.

Almost surely, 2^289972224 is an apocalyptic number.

289972224 is a gapful number since it is divisible by the number (24) 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 289972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475762320).

289972224 is an abundant number, since it is smaller than the sum of its proper divisors (661552416).

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

289972224 is an equidigital number, since it uses as much as digits as its factorization.

289972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 289972224 is about 17028.5708149568. The cubic root of 289972224 is about 661.8894616811.

The spelling of 289972224 in words is "two hundred eighty-nine million, nine hundred seventy-two thousand, two hundred twenty-four".