289354560 has 336 divisors, whose sum is σ = 1050755328. Its totient is φ = 67358720.

The previous prime is 289354529. The next prime is 289354567. The reversal of 289354560 is 65453982.

It is a super-2 number, since 2×289354560² = 167452122785587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289354567) 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 47 ways as a sum of consecutive naturals, for example, 5459494 + ... + 5459546.

It is an arithmetic number, because the mean of its divisors is an integer number (3127248).

Almost surely, 2^289354560 is an apocalyptic number.

289354560 is a gapful number since it is divisible by the number (20) 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 289354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525377664).

289354560 is an abundant number, since it is smaller than the sum of its proper divisors (761400768).

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

289354560 is a wasteful number, since it uses less digits than its factorization.

289354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 289354560 is about 17010.4250387814. The cubic root of 289354560 is about 661.4191684606.

The spelling of 289354560 in words is "two hundred eighty-nine million, three hundred fifty-four thousand, five hundred sixty".