288243360 has 240 divisors, whose sum is σ = 1062585216. Its totient is φ = 73446912.

The previous prime is 288243359. The next prime is 288243367. The reversal of 288243360 is 63342882.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (288243367) 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 39 ways as a sum of consecutive naturals, for example, 297597 + ... + 298563.

Almost surely, 2^288243360 is an apocalyptic number.

288243360 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 288243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531292608).

288243360 is an abundant number, since it is smaller than the sum of its proper divisors (774341856).

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

288243360 is a wasteful number, since it uses less digits than its factorization.

288243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 288243360 is about 16977.7312972022. The cubic root of 288243360 is about 660.5714059794.

The spelling of 288243360 in words is "two hundred eighty-eight million, two hundred forty-three thousand, three hundred sixty".