288636480 has 224 divisors, whose sum is σ = 1111178880. Its totient is φ = 69949440.

The previous prime is 288636473. The next prime is 288636497. The reversal of 288636480 is 84636882.

It is a happy number.

288636480 is a `hidden beast` number, since 2 + 8 + 8 + 636 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×288636480² = 166622035173580800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93522 + ... + 96558.

It is an arithmetic number, because the mean of its divisors is an integer number (4960620).

Almost surely, 2^288636480 is an apocalyptic number.

288636480 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 288636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555589440).

288636480 is an abundant number, since it is smaller than the sum of its proper divisors (822542400).

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

288636480 is a wasteful number, since it uses less digits than its factorization.

288636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 288636480 is about 16989.3048710063. The cubic root of 288636480 is about 660.8715757898.

The spelling of 288636480 in words is "two hundred eighty-eight million, six hundred thirty-six thousand, four hundred eighty".