289996800 has 204 divisors, whose sum is σ = 975168240. Its totient is φ = 76021760.

The previous prime is 289996793. The next prime is 289996841. The reversal of 289996800 is 8699982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4915171 + ... + 4915229.

Almost surely, 2^289996800 is an apocalyptic number.

289996800 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 289996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487584120).

289996800 is an abundant number, since it is smaller than the sum of its proper divisors (685171440).

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

289996800 is an frugal number, since it uses more digits than its factorization.

289996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 289996800 is about 17029.2924104321. The cubic root of 289996800 is about 661.9081601800.

It can be divided in two parts, 2899 and 96800, that added together give a palindrome (99699).

The spelling of 289996800 in words is "two hundred eighty-nine million, nine hundred ninety-six thousand, eight hundred".