478688520 has 64 divisors (see below), whose sum is σ = 1442473920. Its totient is φ = 127080704.

The previous prime is 478688519. The next prime is 478688531. The reversal of 478688520 is 25886874.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 478688520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18454 + ... + 36026.

It is an arithmetic number, because the mean of its divisors is an integer number (22538655).

Almost surely, 2^478688520 is an apocalyptic number.

478688520 is a gapful number since it is divisible by the number (40) 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 478688520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721236960).

478688520 is an abundant number, since it is smaller than the sum of its proper divisors (963785400).

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

478688520 is a wasteful number, since it uses less digits than its factorization.

478688520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 478688520 is about 21878.9515288096. The cubic root of 478688520 is about 782.2597846557.

The spelling of 478688520 in words is "four hundred seventy-eight million, six hundred eighty-eight thousand, five hundred twenty".