285200 has 60 divisors (see below), whose sum is σ = 738048. Its totient is φ = 105600.

The previous prime is 285199. The next prime is 285221. The reversal of 285200 is 2582.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9185 + ... + 9215.

2²⁸⁵²⁰⁰ is an apocalyptic number.

285200 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 285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369024).

285200 is an abundant number, since it is smaller than the sum of its proper divisors (452848).

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

285200 is a wasteful number, since it uses less digits than its factorization.

285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 285200 is about 534.0411969127. The cubic root of 285200 is about 65.8238338409.

Adding to 285200 its reverse (2582), we get a palindrome (287782).

The spelling of 285200 in words is "two hundred eighty-five thousand, two hundred".