289746464 has 48 divisors (see below), whose sum is σ = 657756288. Its totient is φ = 123067392.

The previous prime is 289746439. The next prime is 289746481. The reversal of 289746464 is 464647982.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19589 + ... + 31035.

It is an arithmetic number, because the mean of its divisors is an integer number (13703256).

Almost surely, 2^289746464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328878144).

289746464 is an abundant number, since it is smaller than the sum of its proper divisors (368009824).

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

289746464 is a wasteful number, since it uses less digits than its factorization.

289746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577 (or 11569 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 289746464 is about 17021.9406649183. The cubic root of 289746464 is about 661.7176441198.

The spelling of 289746464 in words is "two hundred eighty-nine million, seven hundred forty-six thousand, four hundred sixty-four".