476180 has 24 divisors (see below), whose sum is σ = 1035720. Its totient is φ = 183680.

The previous prime is 476167. The next prime is 476183. The reversal of 476180 is 81674.

It can be written as a sum of positive squares in 4 ways, for example, as 21904 + 454276 = 148^2 + 674^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476180.

It is not an unprimeable number, because it can be changed into a prime (476183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (43155).

2⁴⁷⁶¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517860).

476180 is an abundant number, since it is smaller than the sum of its proper divisors (559540).

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

476180 is a wasteful number, since it uses less digits than its factorization.

476180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 476180 is about 690.0579685795. The cubic root of 476180 is about 78.0890939002.

It can be divided in two parts, 476 and 180, that added together give a palindrome (656).

The spelling of 476180 in words is "four hundred seventy-six thousand, one hundred eighty".