288949840 has 20 divisors (see below), whose sum is σ = 671808564. Its totient is φ = 115579904.

The previous prime is 288949831. The next prime is 288949873. The reversal of 288949840 is 48949882.

It can be written as a sum of positive squares in 2 ways, for example, as 47831056 + 241118784 = 6916^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1805857 + ... + 1806016.

Almost surely, 2^288949840 is an apocalyptic number.

288949840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288949840 is an abundant number, since it is smaller than the sum of its proper divisors (382858724).

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

288949840 is a wasteful number, since it uses less digits than its factorization.

288949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611886 (or 3611880 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 288949840 is about 16998.5246418623. The cubic root of 288949840 is about 661.1106490802.

The spelling of 288949840 in words is "two hundred eighty-eight million, nine hundred forty-nine thousand, eight hundred forty".