478660 has 48 divisors (see below), whose sum is σ = 1241856. Its totient is φ = 150912.

The previous prime is 478651. The next prime is 478679. The reversal of 478660 is 66874.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

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, 1689 + ... + 1951.

It is an arithmetic number, because the mean of its divisors is an integer number (25872).

2⁴⁷⁸⁶⁶⁰ 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 478660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620928).

478660 is an abundant number, since it is smaller than the sum of its proper divisors (763196).

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

478660 is a wasteful number, since it uses less digits than its factorization.

478660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 478660 is about 691.8525854544. The cubic root of 478660 is about 78.2244248811.

Subtracting from 478660 its product of nonzero digits (8064), we obtain a square (470596 = 686²).

The spelling of 478660 in words is "four hundred seventy-eight thousand, six hundred sixty".