288489600 has 576 divisors, whose sum is σ = 1243045440. Its totient is φ = 64696320.

The previous prime is 288489599. The next prime is 288489601. The reversal of 288489600 is 6984882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (288489599) and next prime (288489601).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (288489601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5443174 + ... + 5443226.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^288489600 is an apocalyptic number.

288489600 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 288489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

288489600 is an abundant number, since it is smaller than the sum of its proper divisors (954555840).

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

288489600 is an equidigital number, since it uses as much as digits as its factorization.

288489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 288489600 is about 16984.9816014030. The cubic root of 288489600 is about 660.7594563434.

The spelling of 288489600 in words is "two hundred eighty-eight million, four hundred eighty-nine thousand, six hundred".