488080 has 20 divisors (see below), whose sum is σ = 1134972. Its totient is φ = 195200.

The previous prime is 488069. The next prime is 488119. The reversal of 488080 is 80884.

It is a happy number.

488080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 246016 = 492^2 + 496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2971 + ... + 3130.

2⁴⁸⁸⁰⁸⁰ is an apocalyptic number.

488080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488080 is an abundant number, since it is smaller than the sum of its proper divisors (646892).

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

488080 is a wasteful number, since it uses less digits than its factorization.

488080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 488080 is about 698.6272253498. The cubic root of 488080 is about 78.7342456097.

It can be divided in two parts, 48 and 8080, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 488080 in words is "four hundred eighty-eight thousand, eighty".