289498468 has 36 divisors (see below), whose sum is σ = 591006780. Its totient is φ = 123719232.

The previous prime is 289498411. The next prime is 289498487. The reversal of 289498468 is 864894982.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 262375204 = 5208^2 + 16198^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74346 + ... + 78142.

It is an arithmetic number, because the mean of its divisors is an integer number (16416855).

Almost surely, 2^289498468 is an apocalyptic number.

289498468 is a gapful number since it is divisible by the number (28) 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 289498468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295503390).

289498468 is an abundant number, since it is smaller than the sum of its proper divisors (301508312).

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

289498468 is a wasteful number, since it uses less digits than its factorization.

289498468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4195 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 58.

The square root of 289498468 is about 17014.6545072182. The cubic root of 289498468 is about 661.5288006646.

The spelling of 289498468 in words is "two hundred eighty-nine million, four hundred ninety-eight thousand, four hundred sixty-eight".