288344480 has 96 divisors (see below), whose sum is σ = 726014016. Its totient is φ = 107843584.

The previous prime is 288344467. The next prime is 288344489. The reversal of 288344480 is 84443882.

It is not an unprimeable number, because it can be changed into a prime (288344489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617207 + ... + 617673.

It is an arithmetic number, because the mean of its divisors is an integer number (7562646).

Almost surely, 2^288344480 is an apocalyptic number.

288344480 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 288344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363007008).

288344480 is an abundant number, since it is smaller than the sum of its proper divisors (437669536).

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

288344480 is a wasteful number, since it uses less digits than its factorization.

288344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The square root of 288344480 is about 16980.7090546891. The cubic root of 288344480 is about 660.6486429954.

The spelling of 288344480 in words is "two hundred eighty-eight million, three hundred forty-four thousand, four hundred eighty".