289298304 has 192 divisors, whose sum is σ = 882161280. Its totient is φ = 94348800.

The previous prime is 289298297. The next prime is 289298309. The reversal of 289298304 is 403892982.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 289298304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289298309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2208319 + ... + 2208449.

It is an arithmetic number, because the mean of its divisors is an integer number (4594590).

Almost surely, 2^289298304 is an apocalyptic number.

289298304 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 289298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441080640).

289298304 is an abundant number, since it is smaller than the sum of its proper divisors (592862976).

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

289298304 is an equidigital number, since it uses as much as digits as its factorization.

289298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

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

The square root of 289298304 is about 17008.7713842006. The cubic root of 289298304 is about 661.3763015497.

The spelling of 289298304 in words is "two hundred eighty-nine million, two hundred ninety-eight thousand, three hundred four".