288484560 has 720 divisors, whose sum is σ = 1319821776. Its totient is φ = 55738368.

The previous prime is 288484501. The next prime is 288484579. The reversal of 288484560 is 65484882.

288484560 is a `hidden beast` number, since 2 + 8 + 8 + 4 + 84 + 560 = 666.

288484560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3415104 + 285069456 = 1848^2 + 16884^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7796862 + ... + 7796898.

Almost surely, 2^288484560 is an apocalyptic number.

288484560 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 288484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659910888).

288484560 is an abundant number, since it is smaller than the sum of its proper divisors (1031337216).

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

288484560 is a wasteful number, since it uses less digits than its factorization.

288484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 288484560 is about 16984.8332343888. The cubic root of 288484560 is about 660.7556084323.

The spelling of 288484560 in words is "two hundred eighty-eight million, four hundred eighty-four thousand, five hundred sixty".