289884240 has 120 divisors (see below), whose sum is σ = 976765608. Its totient is φ = 77045760.

The previous prime is 289884151. The next prime is 289884247. The reversal of 289884240 is 42488982.

It is a happy number.

289884240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34012224 + 255872016 = 5832^2 + 15996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289884247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328600 + ... + 329480.

Almost surely, 2^289884240 is an apocalyptic number.

289884240 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 289884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488382804).

289884240 is an abundant number, since it is smaller than the sum of its proper divisors (686881368).

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

289884240 is a wasteful number, since it uses less digits than its factorization.

289884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 289884240 is about 17025.9871960483. The cubic root of 289884240 is about 661.8225109314.

The spelling of 289884240 in words is "two hundred eighty-nine million, eight hundred eighty-four thousand, two hundred forty".