478984584 has 64 divisors (see below), whose sum is σ = 1305964800. Its totient is φ = 145506816.

The previous prime is 478984579. The next prime is 478984589. The reversal of 478984584 is 485489874.

It is an interprime number because it is at equal distance from previous prime (478984579) and next prime (478984589).

It is a super-3 number, since 3×478984584³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (478984589) 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 15 ways as a sum of consecutive naturals, for example, 14932 + ... + 34364.

It is an arithmetic number, because the mean of its divisors is an integer number (20405700).

Almost surely, 2^478984584 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 478984584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652982400).

478984584 is an abundant number, since it is smaller than the sum of its proper divisors (826980216).

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

478984584 is a wasteful number, since it uses less digits than its factorization.

478984584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534 (or 19530 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The square root of 478984584 is about 21885.7164378962. The cubic root of 478984584 is about 782.4210246691.

The spelling of 478984584 in words is "four hundred seventy-eight million, nine hundred eighty-four thousand, five hundred eighty-four".