486880 has 48 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 182272.

The previous prime is 486869. The next prime is 486907. The reversal of 486880 is 88684.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 2631 + ... + 2809.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2⁴⁸⁶⁸⁸⁰ is an apocalyptic number.

486880 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 486880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

486880 is an abundant number, since it is smaller than the sum of its proper divisors (737840).

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

486880 is a wasteful number, since it uses less digits than its factorization.

486880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 486880 is about 697.7678697103. The cubic root of 486880 is about 78.6696669672.

The spelling of 486880 in words is "four hundred eighty-six thousand, eight hundred eighty".