478205 has 16 divisors (see below), whose sum is σ = 706944. Its totient is φ = 302400.

The previous prime is 478199. The next prime is 478207. The reversal of 478205 is 502874.

478205 = T₃₈ + T₃₉ + ... + T₁₄₂.

It is not a de Polignac number, because 478205 - 2⁴ = 478189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (44184).

2⁴⁷⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

478205 is a deficient number, since it is larger than the sum of its proper divisors (228739).

478205 is a wasteful number, since it uses less digits than its factorization.

478205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 478205 is about 691.5236799995. The cubic root of 478205 is about 78.1996310839.

The spelling of 478205 in words is "four hundred seventy-eight thousand, two hundred five".