282246800 has 120 divisors (see below), whose sum is σ = 772182720. Its totient is φ = 98137600.

The previous prime is 282246787. The next prime is 282246803. The reversal of 282246800 is 8642282.

It is a happy number.

282246800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×282246800² = 159326512220480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (282246803) 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 23 ways as a sum of consecutive naturals, for example, 99806 + ... + 102594.

It is an arithmetic number, because the mean of its divisors is an integer number (6434856).

Almost surely, 2^282246800 is an apocalyptic number.

282246800 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 282246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386091360).

282246800 is an abundant number, since it is smaller than the sum of its proper divisors (489935920).

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

282246800 is a wasteful number, since it uses less digits than its factorization.

282246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 282246800 is about 16800.2023797334. The cubic root of 282246800 is about 655.9584670314.

The spelling of 282246800 in words is "two hundred eighty-two million, two hundred forty-six thousand, eight hundred".