282960090 has 192 divisors, whose sum is σ = 882086400. Its totient is φ = 61585920.

The previous prime is 282960079. The next prime is 282960091. The reversal of 282960090 is 90069282.

282960090 is a `hidden beast` number, since 28 + 29 + 600 + 9 + 0 = 666.

282960090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (282960091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1421811 + ... + 1422009.

It is an arithmetic number, because the mean of its divisors is an integer number (4594200).

Almost surely, 2^282960090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282960090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441043200).

282960090 is an abundant number, since it is smaller than the sum of its proper divisors (599126310).

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

282960090 is a wasteful number, since it uses less digits than its factorization.

282960090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 282960090 is about 16821.4175978126. The cubic root of 282960090 is about 656.5105784227.

The spelling of 282960090 in words is "two hundred eighty-two million, nine hundred sixty thousand, ninety".