285241120 has 96 divisors (see below), whose sum is σ = 698035968. Its totient is φ = 110082048.

The previous prime is 285241109. The next prime is 285241157. The reversal of 285241120 is 21142582.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623932 + ... + 624388.

It is an arithmetic number, because the mean of its divisors is an integer number (7271208).

Almost surely, 2^285241120 is an apocalyptic number.

285241120 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 285241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349017984).

285241120 is an abundant number, since it is smaller than the sum of its proper divisors (412794848).

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

285241120 is a wasteful number, since it uses less digits than its factorization.

285241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 285241120 is about 16889.0828643831. The cubic root of 285241120 is about 658.2699717189.

The spelling of 285241120 in words is "two hundred eighty-five million, two hundred forty-one thousand, one hundred twenty".