285456 has 40 divisors (see below), whose sum is σ = 778720. Its totient is φ = 89856.

The previous prime is 285451. The next prime is 285457. The reversal of 285456 is 654582.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285451) 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, 756 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (19468).

2²⁸⁵⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389360).

285456 is an abundant number, since it is smaller than the sum of its proper divisors (493264).

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

285456 is a wasteful number, since it uses less digits than its factorization.

285456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 285456 is about 534.2808250349. The cubic root of 285456 is about 65.8435227868.

It can be divided in two parts, 285 and 456, that added together give a triangular number (741 = T₃₈).

The spelling of 285456 in words is "two hundred eighty-five thousand, four hundred fifty-six".