288400 has 60 divisors (see below), whose sum is σ = 799552. Its totient is φ = 97920.

The previous prime is 288389. The next prime is 288403. The reversal of 288400 is 4882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288403) 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 11 ways as a sum of consecutive naturals, for example, 2749 + ... + 2851.

2²⁸⁸⁴⁰⁰ is an apocalyptic number.

288400 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 288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399776).

288400 is an abundant number, since it is smaller than the sum of its proper divisors (511152).

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

288400 is a wasteful number, since it uses less digits than its factorization.

288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

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

The square root of 288400 is about 537.0288632839. The cubic root of 288400 is about 66.0691042349.

The spelling of 288400 in words is "two hundred eighty-eight thousand, four hundred".