288040 has 32 divisors (see below), whose sum is σ = 684000. Its totient is φ = 108864.

The previous prime is 288023. The next prime is 288049. The reversal of 288040 is 40882.

288040 = T₂₃₅ + T₂₃₆ + ... + T₂₄₄.

It is not an unprimeable number, because it can be changed into a prime (288049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (21375).

2²⁸⁸⁰⁴⁰ is an apocalyptic number.

288040 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 288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342000).

288040 is an abundant number, since it is smaller than the sum of its proper divisors (395960).

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

288040 is a wasteful number, since it uses less digits than its factorization.

288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 288040 is about 536.6935811056. The cubic root of 288040 is about 66.0416021764.

The spelling of 288040 in words is "two hundred eighty-eight thousand, forty".