478680 has 32 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 127616.

The previous prime is 478679. The next prime is 478697. The reversal of 478680 is 86874.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1875 + ... + 2114.

2⁴⁷⁸⁶⁸⁰ is an apocalyptic number.

478680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478680 is an abundant number, since it is smaller than the sum of its proper divisors (957720).

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

478680 is a wasteful number, since it uses less digits than its factorization.

478680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3999 counting only the distinct ones).

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

The square root of 478680 is about 691.8670392496. The cubic root of 478680 is about 78.2255143577.

The spelling of 478680 in words is "four hundred seventy-eight thousand, six hundred eighty".