289976240 has 80 divisors (see below), whose sum is σ = 689018400. Its totient is φ = 113473536.

The previous prime is 289976237. The next prime is 289976251. The reversal of 289976240 is 42679982.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989534 + ... + 989826.

It is an arithmetic number, because the mean of its divisors is an integer number (8612730).

Almost surely, 2^289976240 is an apocalyptic number.

289976240 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 289976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344509200).

289976240 is an abundant number, since it is smaller than the sum of its proper divisors (399042160).

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

289976240 is a wasteful number, since it uses less digits than its factorization.

289976240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 289976240 is about 17028.6887340159. The cubic root of 289976240 is about 661.8925173023.

The spelling of 289976240 in words is "two hundred eighty-nine million, nine hundred seventy-six thousand, two hundred forty".