478686 has 48 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 131328.

The previous prime is 478679. The next prime is 478697. The reversal of 478686 is 686874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

478686 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 25185 + ... + 25203.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2⁴⁷⁸⁶⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

478686 is an abundant number, since it is smaller than the sum of its proper divisors (673458).

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

478686 is a wasteful number, since it uses less digits than its factorization.

478686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 478686 is about 691.8713753293. The cubic root of 478686 is about 78.2258411948.

It can be divided in two parts, 47868 and 6, that added together give a palindrome (47874).

The spelling of 478686 in words is "four hundred seventy-eight thousand, six hundred eighty-six".