478864 has 15 divisors (see below), whose sum is σ = 933193. Its totient is φ = 238048.

The previous prime is 478861. The next prime is 478871. The reversal of 478864 is 468874.

The square root of 478864 is 692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 43264 = 660^2 + 208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478861) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2682 + ... + 2854.

478864 is a Friedman number, since it can be written as (87*8-4)^(6-4), using all its digits and the basic arithmetic operations.

2⁴⁷⁸⁸⁶⁴ is an apocalyptic number.

478864 is the 692-nd square number.

It is an amenable number.

478864 is a deficient number, since it is larger than the sum of its proper divisors (454329).

478864 is an equidigital number, since it uses as much as digits as its factorization.

478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 175 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The cubic root of 478864 is about 78.2355361195.

It can be divided in two parts, 47 and 8864, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 478864 in words is "four hundred seventy-eight thousand, eight hundred sixty-four".