282490560 has 336 divisors, whose sum is σ = 1093146912. Its totient is φ = 66355200.

The previous prime is 282490541. The next prime is 282490567. The reversal of 282490560 is 65094282.

It is a happy number.

282490560 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 90 + 560 = 666.

It is a super-2 number, since 2×282490560² = 159601832978227200, which contains 22 as substring.

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 (282490567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172040 + ... + 1172280.

Almost surely, 2^282490560 is an apocalyptic number.

282490560 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 282490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546573456).

282490560 is an abundant number, since it is smaller than the sum of its proper divisors (810656352).

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

282490560 is a wasteful number, since it uses less digits than its factorization.

282490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 282490560 is about 16807.4554885622. The cubic root of 282490560 is about 656.1472503078.

The spelling of 282490560 in words is "two hundred eighty-two million, four hundred ninety thousand, five hundred sixty".