478180 has 12 divisors (see below), whose sum is σ = 1004220. Its totient is φ = 191264.

The previous prime is 478171. The next prime is 478189. The reversal of 478180 is 81874.

It is an interprime number because it is at equal distance from previous prime (478171) and next prime (478189).

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 389376 = 298^2 + 624^2 .

It is a super-2 number, since 2×478180² = 457312224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478189) by changing a digit.

478180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 11935 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (83685).

2⁴⁷⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

478180 is an abundant number, since it is smaller than the sum of its proper divisors (526040).

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

478180 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 478180 = (807841)₉.

478180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 23916 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 478180 is about 691.5056037372. The cubic root of 478180 is about 78.1982683316.

The spelling of 478180 in words is "four hundred seventy-eight thousand, one hundred eighty".