288240840 has 48 divisors (see below), whose sum is σ = 936783900. Its totient is φ = 76864128.

The previous prime is 288240839. The next prime is 288240847. The reversal of 288240840 is 48042882.

It can be written as a sum of positive squares in 2 ways, for example, as 259145604 + 29095236 = 16098^2 + 5394^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 288240795 and 288240804.

It is not an unprimeable number, because it can be changed into a prime (288240847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399975 + ... + 400694.

Almost surely, 2^288240840 is an apocalyptic number.

288240840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288240840 is an abundant number, since it is smaller than the sum of its proper divisors (648543060).

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

288240840 is a wasteful number, since it uses less digits than its factorization.

288240840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800686 (or 800679 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 288240840 is about 16977.6570821772. The cubic root of 288240840 is about 660.5694809339.

The spelling of 288240840 in words is "two hundred eighty-eight million, two hundred forty thousand, eight hundred forty".