486680 has 32 divisors (see below), whose sum is σ = 1144800. Its totient is φ = 186208.

The previous prime is 486679. The next prime is 486683. The reversal of 486680 is 86684.

486680 = 35² + 36² + ... + 114².

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 486680.

It is not an unprimeable number, because it can be changed into a prime (486683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21149 + ... + 21171.

It is an arithmetic number, because the mean of its divisors is an integer number (35775).

2⁴⁸⁶⁶⁸⁰ is an apocalyptic number.

486680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572400).

486680 is an abundant number, since it is smaller than the sum of its proper divisors (658120).

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

486680 is an equidigital number, since it uses as much as digits as its factorization.

486680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 486680 is about 697.6245408527. The cubic root of 486680 is about 78.6588935471.

The spelling of 486680 in words is "four hundred eighty-six thousand, six hundred eighty".