478531584 has 104 divisors (see below), whose sum is σ = 1418025920. Its totient is φ = 159473664.

The previous prime is 478531579. The next prime is 478531597. The reversal of 478531584 is 485135874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108429 + ... + 112755.

Almost surely, 2^478531584 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 478531584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709012960).

478531584 is an abundant number, since it is smaller than the sum of its proper divisors (939494336).

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

478531584 is an equidigital number, since it uses as much as digits as its factorization.

478531584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4332 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 478531584 is about 21875.3647741015. The cubic root of 478531584 is about 782.1742884616.

The spelling of 478531584 in words is "four hundred seventy-eight million, five hundred thirty-one thousand, five hundred eighty-four".