482221584 has 120 divisors (see below), whose sum is σ = 1462744920. Its totient is φ = 147419136.

The previous prime is 482221583. The next prime is 482221601. The reversal of 482221584 is 485122284.

482221584 is a `hidden beast` number, since 482 + 22 + 158 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38192400 + 444029184 = 6180^2 + 21072^2 .

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 (482221583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323112 + ... + 324600.

It is an arithmetic number, because the mean of its divisors is an integer number (12189541).

Almost surely, 2^482221584 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 482221584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731372460).

482221584 is an abundant number, since it is smaller than the sum of its proper divisors (980523336).

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

482221584 is a wasteful number, since it uses less digits than its factorization.

482221584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1680 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 482221584 is about 21959.5442575660. The cubic root of 482221584 is about 784.1796148931.

The spelling of 482221584 in words is "four hundred eighty-two million, two hundred twenty-one thousand, five hundred eighty-four".