478608 has 60 divisors (see below), whose sum is σ = 1361520. Its totient is φ = 144768.

The previous prime is 478603. The next prime is 478627. The reversal of 478608 is 806874.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (478603) by changing a digit.

478608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8083 + ... + 8141.

It is an arithmetic number, because the mean of its divisors is an integer number (22692).

2⁴⁷⁸⁶⁰⁸ is an apocalyptic number.

478608 is a gapful number since it is divisible by the number (48) 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 478608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680760).

478608 is an abundant number, since it is smaller than the sum of its proper divisors (882912).

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

478608 is a wasteful number, since it uses less digits than its factorization.

478608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 478608 is about 691.8150041738. The cubic root of 478608 is about 78.2215920997.

Subtracting from 478608 its product of nonzero digits (10752), we obtain a square (467856 = 684²).

It can be divided in two parts, 4 and 78608, that multiplied together give a cube (314432 = 68³).

The spelling of 478608 in words is "four hundred seventy-eight thousand, six hundred eight".