282946560 has 264 divisors, whose sum is σ = 988946640. Its totient is φ = 69009408.

The previous prime is 282946549. The next prime is 282946567. The reversal of 282946560 is 65649282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282946567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595786 + ... + 2595894.

It is an arithmetic number, because the mean of its divisors is an integer number (3746010).

Almost surely, 2^282946560 is an apocalyptic number.

282946560 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 282946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494473320).

282946560 is an abundant number, since it is smaller than the sum of its proper divisors (706000080).

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

282946560 is a wasteful number, since it uses less digits than its factorization.

282946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 282946560 is about 16821.0154271376. The cubic root of 282946560 is about 656.5001143679.

The spelling of 282946560 in words is "two hundred eighty-two million, nine hundred forty-six thousand, five hundred sixty".