285384 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 80960.

The previous prime is 285377. The next prime is 285421. The reversal of 285384 is 483582.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285384.

It is an unprimeable number.

285384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6049 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2²⁸⁵³⁸⁴ is an apocalyptic number.

285384 is a gapful number since it is divisible by the number (24) 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 285384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

285384 is an abundant number, since it is smaller than the sum of its proper divisors (544056).

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

285384 is a wasteful number, since it uses less digits than its factorization.

285384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 285384 is about 534.2134404898. The cubic root of 285384 is about 65.8379864610.

The spelling of 285384 in words is "two hundred eighty-five thousand, three hundred eighty-four".