282216480 has 432 divisors, whose sum is σ = 1135560384. Its totient is φ = 58705920.

The previous prime is 282216461. The next prime is 282216491. The reversal of 282216480 is 84612282.

It is a happy number.

It is a super-2 number, since 2×282216480² = 159292283167180800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3974845 + ... + 3974915.

It is an arithmetic number, because the mean of its divisors is an integer number (2628612).

Almost surely, 2^282216480 is an apocalyptic number.

282216480 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 282216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567780192).

282216480 is an abundant number, since it is smaller than the sum of its proper divisors (853343904).

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

282216480 is a wasteful number, since it uses less digits than its factorization.

282216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 282216480 is about 16799.2999854161. The cubic root of 282216480 is about 655.9349776917.

The spelling of 282216480 in words is "two hundred eighty-two million, two hundred sixteen thousand, four hundred eighty".