285330240 has 168 divisors, whose sum is σ = 1057049448. Its totient is φ = 70225920.

The previous prime is 285330233. The next prime is 285330251. The reversal of 285330240 is 42033582.

It can be written as a sum of positive squares in 4 ways, for example, as 32901696 + 252428544 = 5736^2 + 15888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33630 + ... + 41250.

It is an arithmetic number, because the mean of its divisors is an integer number (6291961).

Almost surely, 2^285330240 is an apocalyptic number.

285330240 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 285330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528524724).

285330240 is an abundant number, since it is smaller than the sum of its proper divisors (771719208).

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

285330240 is a wasteful number, since it uses less digits than its factorization.

285330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 285330240 is about 16891.7210490820. The cubic root of 285330240 is about 658.3385206378.

The spelling of 285330240 in words is "two hundred eighty-five million, three hundred thirty thousand, two hundred forty".