289713600 has 504 divisors, whose sum is σ = 1179210240. Its totient is φ = 66816000.

The previous prime is 289713587. The next prime is 289713617. The reversal of 289713600 is 6317982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4910371 + ... + 4910429.

Almost surely, 2^289713600 is an apocalyptic number.

289713600 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 289713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589605120).

289713600 is an abundant number, since it is smaller than the sum of its proper divisors (889496640).

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

289713600 is a wasteful number, since it uses less digits than its factorization.

289713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 289713600 is about 17020.9752952056. The cubic root of 289713600 is about 661.6926251077.

The spelling of 289713600 in words is "two hundred eighty-nine million, seven hundred thirteen thousand, six hundred".