478584882 has 128 divisors (see below), whose sum is σ = 1187020800. Its totient is φ = 142300800.

The previous prime is 478584881. The next prime is 478584917. The reversal of 478584882 is 288485874.

478584882 is a `hidden beast` number, since 478 + 58 + 48 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (478584881) 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 63 ways as a sum of consecutive naturals, for example, 1303863 + ... + 1304229.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2^478584882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478584882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593510400).

478584882 is an abundant number, since it is smaller than the sum of its proper divisors (708435918).

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

478584882 is a wasteful number, since it uses less digits than its factorization.

478584882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 478584882 is about 21876.5829598683. The cubic root of 478584882 is about 782.2033264457.

The spelling of 478584882 in words is "four hundred seventy-eight million, five hundred eighty-four thousand, eight hundred eighty-two".