285342000 has 160 divisors (see below), whose sum is σ = 968747520. Its totient is φ = 72057600.

The previous prime is 285341993. The next prime is 285342017. The reversal of 285342000 is 243582.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112749 + ... + 115251.

It is an arithmetic number, because the mean of its divisors is an integer number (6054672).

Almost surely, 2^285342000 is an apocalyptic number.

285342000 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 285342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484373760).

285342000 is an abundant number, since it is smaller than the sum of its proper divisors (683405520).

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

285342000 is a wasteful number, since it uses less digits than its factorization.

285342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 285342000 is about 16892.0691450160. The cubic root of 285342000 is about 658.3475650754.

Adding to 285342000 its reverse (243582), we get a palindrome (285585582).

The spelling of 285342000 in words is "two hundred eighty-five million, three hundred forty-two thousand".