478404 has 36 divisors (see below), whose sum is σ = 1230684. Its totient is φ = 156672.

The previous prime is 478403. The next prime is 478411. The reversal of 478404 is 404874.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 230400 = 498^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 478404.

It is not an unprimeable number, because it can be changed into a prime (478403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3424 + ... + 3560.

2⁴⁷⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

478404 is an abundant number, since it is smaller than the sum of its proper divisors (752280).

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

478404 is a wasteful number, since it uses less digits than its factorization.

478404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 478404 is about 691.6675502002. The cubic root of 478404 is about 78.2104768986.

The spelling of 478404 in words is "four hundred seventy-eight thousand, four hundred four".