289930240 has 88 divisors (see below), whose sum is σ = 736625232. Its totient is φ = 109117440.

The previous prime is 289930217. The next prime is 289930241. The reversal of 289930240 is 42039982.

It is a self number, because there is not a number n which added to its sum of digits gives 289930240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289930241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85375 + ... + 88705.

Almost surely, 2^289930240 is an apocalyptic number.

289930240 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 289930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368312616).

289930240 is an abundant number, since it is smaller than the sum of its proper divisors (446694992).

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

289930240 is a wasteful number, since it uses less digits than its factorization.

289930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 289930240 is about 17027.3380186100. The cubic root of 289930240 is about 661.8575159681.

The spelling of 289930240 in words is "two hundred eighty-nine million, nine hundred thirty thousand, two hundred forty".