282063240 has 96 divisors (see below), whose sum is σ = 929349720. Its totient is φ = 74179584.

The previous prime is 282063211. The next prime is 282063241. The reversal of 282063240 is 42360282.

282063240 is a `hidden beast` number, since 2 + 8 + 20 + 632 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170929476 + 111133764 = 13074^2 + 10542^2 .

It is not an unprimeable number, because it can be changed into a prime (282063241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20914 + ... + 31646.

Almost surely, 2^282063240 is an apocalyptic number.

282063240 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 282063240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464674860).

282063240 is an abundant number, since it is smaller than the sum of its proper divisors (647286480).

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

282063240 is a wasteful number, since it uses less digits than its factorization.

282063240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823 (or 10816 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 282063240 is about 16794.7384617921. The cubic root of 282063240 is about 655.8162347154.

The spelling of 282063240 in words is "two hundred eighty-two million, sixty-three thousand, two hundred forty".