487080 has 128 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 115200.

The previous prime is 487079. The next prime is 487093. The reversal of 487080 is 80784.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 11860 + ... + 11900.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2⁴⁸⁷⁰⁸⁰ is an apocalyptic number.

487080 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 487080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

487080 is an abundant number, since it is smaller than the sum of its proper divisors (1327320).

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

487080 is a wasteful number, since it uses less digits than its factorization.

487080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 487080 is about 697.9111691326. The cubic root of 487080 is about 78.6804374373.

It can be divided in two parts, 4870 and 80, that added together give a triangular number (4950 = T₉₉).

The spelling of 487080 in words is "four hundred eighty-seven thousand, eighty".