289920384 has 224 divisors, whose sum is σ = 936482400. Its totient is φ = 88833024.

The previous prime is 289920377. The next prime is 289920391. The reversal of 289920384 is 483029982.

It is an interprime number because it is at equal distance from previous prime (289920377) and next prime (289920391).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1212937 + ... + 1213175.

It is an arithmetic number, because the mean of its divisors is an integer number (4180725).

Almost surely, 2^289920384 is an apocalyptic number.

289920384 is a gapful number since it is divisible by the number (24) 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 289920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468241200).

289920384 is an abundant number, since it is smaller than the sum of its proper divisors (646562016).

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

289920384 is an equidigital number, since it uses as much as digits as its factorization.

289920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289920384 is about 17027.0485992141. The cubic root of 289920384 is about 661.8500160702.

The spelling of 289920384 in words is "two hundred eighty-nine million, nine hundred twenty thousand, three hundred eighty-four".