285322000 has 80 divisors (see below), whose sum is σ = 693598464. Its totient is φ = 113520000.

The previous prime is 285321977. The next prime is 285322001. The reversal of 285322000 is 223582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (285322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661785 + ... + 662215.

Almost surely, 2^285322000 is an apocalyptic number.

285322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285322000 is the 13792-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346799232).

285322000 is an abundant number, since it is smaller than the sum of its proper divisors (408276464).

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

285322000 is a wasteful number, since it uses less digits than its factorization.

285322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 285322000 is about 16891.4771408542. The cubic root of 285322000 is about 658.3321832307.

Adding to 285322000 its reverse (223582), we get a palindrome (285545582).

The spelling of 285322000 in words is "two hundred eighty-five million, three hundred twenty-two thousand".