285267840 has 256 divisors, whose sum is σ = 1069286400. Its totient is φ = 63774720.

The previous prime is 285267833. The next prime is 285267869. The reversal of 285267840 is 48762582.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 285267792 and 285267801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274041 + ... + 275079.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^285267840 is an apocalyptic number.

285267840 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 285267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643200).

285267840 is an abundant number, since it is smaller than the sum of its proper divisors (784018560).

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

285267840 is a wasteful number, since it uses less digits than its factorization.

285267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 285267840 is about 16889.8738894049. The cubic root of 285267840 is about 658.2905255863.

The spelling of 285267840 in words is "two hundred eighty-five million, two hundred sixty-seven thousand, eight hundred forty".