289407384 has 128 divisors (see below), whose sum is σ = 923404800. Its totient is φ = 82270080.

The previous prime is 289407361. The next prime is 289407407. The reversal of 289407384 is 483704982.

It is an interprime number because it is at equal distance from previous prime (289407361) and next prime (289407407).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418479 + ... + 419169.

It is an arithmetic number, because the mean of its divisors is an integer number (7214100).

Almost surely, 2^289407384 is an apocalyptic number.

289407384 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 289407384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461702400).

289407384 is an abundant number, since it is smaller than the sum of its proper divisors (633997416).

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

289407384 is a wasteful number, since it uses less digits than its factorization.

289407384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 289407384 is about 17011.9776628116. The cubic root of 289407384 is about 661.4594151395.

The spelling of 289407384 in words is "two hundred eighty-nine million, four hundred seven thousand, three hundred eighty-four".