486180 has 72 divisors (see below), whose sum is σ = 1535352. Its totient is φ = 124416.

The previous prime is 486179. The next prime is 486181. The reversal of 486180 is 81684.

486180 is a `hidden beast` number, since 48 + 618 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (486179) and next prime (486181).

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 338724 = 384^2 + 582^2 .

It is not an unprimeable number, because it can be changed into a prime (486181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6624 + ... + 6696.

2⁴⁸⁶¹⁸⁰ 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 486180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767676).

486180 is an abundant number, since it is smaller than the sum of its proper divisors (1049172).

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

486180 is a wasteful number, since it uses less digits than its factorization.

486180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 486180 is about 697.2660898108. The cubic root of 486180 is about 78.6319470778.

Subtracting from 486180 its reverse (81684), we obtain a square (404496 = 636²).

It can be divided in two parts, 486 and 180, that added together give a palindrome (666).

The spelling of 486180 in words is "four hundred eighty-six thousand, one hundred eighty".