478580 has 12 divisors (see below), whose sum is σ = 1005060. Its totient is φ = 191424.

The previous prime is 478579. The next prime is 478589. The reversal of 478580 is 85874.

It can be written as a sum of positive squares in 2 ways, for example, as 252004 + 226576 = 502^2 + 476^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478589) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11945 + ... + 11984.

It is an arithmetic number, because the mean of its divisors is an integer number (83755).

2⁴⁷⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

478580 is an abundant number, since it is smaller than the sum of its proper divisors (526480).

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

478580 is a wasteful number, since it uses less digits than its factorization.

478580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23938 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 478580 is about 691.7947672540. The cubic root of 478580 is about 78.2200666709.

The spelling of 478580 in words is "four hundred seventy-eight thousand, five hundred eighty".