288564480 has 216 divisors, whose sum is σ = 1026901512. Its totient is φ = 74760192.

The previous prime is 288564469. The next prime is 288564553. The reversal of 288564480 is 84465882.

288564480 is a `hidden beast` number, since 2 + 8 + 8 + 564 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178062336 + 110502144 = 13344^2 + 10512^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425902 + ... + 426578.

Almost surely, 2^288564480 is an apocalyptic number.

288564480 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 288564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513450756).

288564480 is an abundant number, since it is smaller than the sum of its proper divisors (738337032).

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

288564480 is a wasteful number, since it uses less digits than its factorization.

288564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

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

The square root of 288564480 is about 16987.1857586829. The cubic root of 288564480 is about 660.8166200308.

The spelling of 288564480 in words is "two hundred eighty-eight million, five hundred sixty-four thousand, four hundred eighty".