289224000 has 448 divisors, whose sum is σ = 1153850880. Its totient is φ = 70502400.

The previous prime is 289223983. The next prime is 289224071. The reversal of 289224000 is 422982.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2807949 + ... + 2808051.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^289224000 is an apocalyptic number.

289224000 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 289224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

289224000 is an abundant number, since it is smaller than the sum of its proper divisors (864626880).

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

289224000 is a wasteful number, since it uses less digits than its factorization.

289224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 289224000 is about 17006.5869591756. The cubic root of 289224000 is about 661.3196735963.

Adding to 289224000 its reverse (422982), we get a palindrome (289646982).

The spelling of 289224000 in words is "two hundred eighty-nine million, two hundred twenty-four thousand".