289912800 has 144 divisors (see below), whose sum is σ = 952907760. Its totient is φ = 76554240.

The previous prime is 289912787. The next prime is 289912801. The reversal of 289912800 is 8219982.

289912800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289912801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270666 + ... + 271734.

It is an arithmetic number, because the mean of its divisors is an integer number (6617415).

Almost surely, 2^289912800 is an apocalyptic number.

289912800 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 289912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476453880).

289912800 is an abundant number, since it is smaller than the sum of its proper divisors (662994960).

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

289912800 is a wasteful number, since it uses less digits than its factorization.

289912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 289912800 is about 17026.8258932779. The cubic root of 289912800 is about 661.8442449291.

The spelling of 289912800 in words is "two hundred eighty-nine million, nine hundred twelve thousand, eight hundred".