289905040 has 80 divisors (see below), whose sum is σ = 717811200. Its totient is φ = 108573696.

The previous prime is 289905019. The next prime is 289905043. The reversal of 289905040 is 40509982.

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

It is not an unprimeable number, because it can be changed into a prime (289905043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134209 + ... + 136351.

It is an arithmetic number, because the mean of its divisors is an integer number (8972640).

Almost surely, 2^289905040 is an apocalyptic number.

289905040 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 289905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358905600).

289905040 is an abundant number, since it is smaller than the sum of its proper divisors (427906160).

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

289905040 is a wasteful number, since it uses less digits than its factorization.

289905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 289905040 is about 17026.5980160454. The cubic root of 289905040 is about 661.8383397544.

The spelling of 289905040 in words is "two hundred eighty-nine million, nine hundred five thousand, forty".