288462880 has 48 divisors (see below), whose sum is σ = 698131224. Its totient is φ = 112568320.

The previous prime is 288462857. The next prime is 288462899. The reversal of 288462880 is 88264882.

It can be written as a sum of positive squares in 4 ways, for example, as 153066384 + 135396496 = 12372^2 + 11636^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 288462880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15427 + ... + 28546.

Almost surely, 2^288462880 is an apocalyptic number.

288462880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288462880 is an abundant number, since it is smaller than the sum of its proper divisors (409668344).

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

288462880 is a wasteful number, since it uses less digits than its factorization.

288462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44029 (or 44021 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 288462880 is about 16984.1950059460. The cubic root of 288462880 is about 660.7390557954.

The spelling of 288462880 in words is "two hundred eighty-eight million, four hundred sixty-two thousand, eight hundred eighty".