288245760 has 192 divisors, whose sum is σ = 1007173440. Its totient is φ = 69795840.

The previous prime is 288245759. The next prime is 288245791. The reversal of 288245760 is 67542882.

It is a happy number.

288245760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337494 + ... + 338346.

It is an arithmetic number, because the mean of its divisors is an integer number (5245695).

Almost surely, 2^288245760 is an apocalyptic number.

288245760 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 288245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503586720).

288245760 is an abundant number, since it is smaller than the sum of its proper divisors (718927680).

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

288245760 is a wasteful number, since it uses less digits than its factorization.

288245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 288245760 is about 16977.8019778769. The cubic root of 288245760 is about 660.5732393457.

The spelling of 288245760 in words is "two hundred eighty-eight million, two hundred forty-five thousand, seven hundred sixty".