284482656 has 72 divisors (see below), whose sum is σ = 812579040. Its totient is φ = 94407936.

The previous prime is 284482651. The next prime is 284482669. The reversal of 284482656 is 656284482.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284482651) 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 11 ways as a sum of consecutive naturals, for example, 66766 + ... + 70898.

It is an arithmetic number, because the mean of its divisors is an integer number (11285820).

Almost surely, 2^284482656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284482656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406289520).

284482656 is an abundant number, since it is smaller than the sum of its proper divisors (528096384).

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

284482656 is a wasteful number, since it uses less digits than its factorization.

284482656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4377 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 284482656 is about 16866.6136494555. The cubic root of 284482656 is about 657.6860011486.

The spelling of 284482656 in words is "two hundred eighty-four million, four hundred eighty-two thousand, six hundred fifty-six".