478305 has 20 divisors (see below), whose sum is σ = 858132. Its totient is φ = 254880.

The previous prime is 478273. The next prime is 478321. The reversal of 478305 is 503874.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 156816 = 567^2 + 396^2 .

It is not a de Polignac number, because 478305 - 2⁵ = 478273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

478305 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186 + ... + 995.

2⁴⁷⁸³⁰⁵ is an apocalyptic number.

478305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

478305 is a deficient number, since it is larger than the sum of its proper divisors (379827).

478305 is a wasteful number, since it uses less digits than its factorization.

478305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 478305 is about 691.5959803238. The cubic root of 478305 is about 78.2050816180.

The spelling of 478305 in words is "four hundred seventy-eight thousand, three hundred five".