289285304 has 64 divisors (see below), whose sum is σ = 698112000. Its totient is φ = 109065600.

The previous prime is 289285303. The next prime is 289285327. The reversal of 289285304 is 403582982.

It is a super-2 number, since 2×289285304² = 167371974220744832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289285303) 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 15 ways as a sum of consecutive naturals, for example, 11522 + ... + 26670.

It is an arithmetic number, because the mean of its divisors is an integer number (10908000).

Almost surely, 2^289285304 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 289285304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349056000).

289285304 is an abundant number, since it is smaller than the sum of its proper divisors (408826696).

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

289285304 is a wasteful number, since it uses less digits than its factorization.

289285304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15204 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 289285304 is about 17008.3892241447. The cubic root of 289285304 is about 661.3663947965.

The spelling of 289285304 in words is "two hundred eighty-nine million, two hundred eighty-five thousand, three hundred four".