288718480 has 40 divisors (see below), whose sum is σ = 710760312. Its totient is φ = 108693504.

The previous prime is 288718459. The next prime is 288718483. The reversal of 288718480 is 84817882.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 210714256 = 8832^2 + 14516^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 288718480.

It is not an unprimeable number, because it can be changed into a prime (288718483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104787 + ... + 107506.

Almost surely, 2^288718480 is an apocalyptic number.

288718480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288718480 is an abundant number, since it is smaller than the sum of its proper divisors (422041832).

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

288718480 is a wasteful number, since it uses less digits than its factorization.

288718480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212323 (or 212317 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 46.

The square root of 288718480 is about 16991.7179825938. The cubic root of 288718480 is about 660.9341531630.

The spelling of 288718480 in words is "two hundred eighty-eight million, seven hundred eighteen thousand, four hundred eighty".