285312000 has 176 divisors, whose sum is σ = 950332032. Its totient is φ = 75980800.

The previous prime is 285311899. The next prime is 285312007. The reversal of 285312000 is 213582.

It is not an unprimeable number, because it can be changed into a prime (285312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383629 + ... + 384371.

Almost surely, 2^285312000 is an apocalyptic number.

285312000 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 285312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475166016).

285312000 is an abundant number, since it is smaller than the sum of its proper divisors (665020032).

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

285312000 is an equidigital number, since it uses as much as digits as its factorization.

285312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 285312000 is about 16891.1811309926. The cubic root of 285312000 is about 658.3244920389.

Adding to 285312000 its reverse (213582), we get a palindrome (285525582).

The spelling of 285312000 in words is "two hundred eighty-five million, three hundred twelve thousand".