285909120 has 288 divisors, whose sum is σ = 1149602220. Its totient is φ = 65286144.

The previous prime is 285909079. The next prime is 285909121. The reversal of 285909120 is 21909582.

It can be written as a sum of positive squares in 2 ways, for example, as 233722944 + 52186176 = 15288^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285909121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281734 + ... + 282746.

Almost surely, 2^285909120 is an apocalyptic number.

285909120 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 285909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574801110).

285909120 is an abundant number, since it is smaller than the sum of its proper divisors (863693100).

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

285909120 is a wasteful number, since it uses less digits than its factorization.

285909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 285909120 is about 16908.8473882758. The cubic root of 285909120 is about 658.7834338344.

The spelling of 285909120 in words is "two hundred eighty-five million, nine hundred nine thousand, one hundred twenty".