478490584 has 128 divisors (see below), whose sum is σ = 1101703680. Its totient is φ = 191923200.

The previous prime is 478490569. The next prime is 478490603. The reversal of 478490584 is 485094874.

It is a happy number.

It is a super-3 number, since 3×478490584³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3492564 + ... + 3492700.

It is an arithmetic number, because the mean of its divisors is an integer number (8607060).

Almost surely, 2^478490584 is an apocalyptic number.

478490584 is a gapful number since it is divisible by the number (44) 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 478490584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550851840).

478490584 is an abundant number, since it is smaller than the sum of its proper divisors (623213096).

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

478490584 is a wasteful number, since it uses less digits than its factorization.

478490584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 478490584 is about 21874.4276267975. The cubic root of 478490584 is about 782.1519492452.

The spelling of 478490584 in words is "four hundred seventy-eight million, four hundred ninety thousand, five hundred eighty-four".