488580 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 122368.

The previous prime is 488573. The next prime is 488603. The reversal of 488580 is 85884.

It is an unprimeable number.

488580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴⁸⁸⁵⁸⁰ 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 488580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

488580 is an abundant number, since it is smaller than the sum of its proper divisors (962940).

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

488580 is a wasteful number, since it uses less digits than its factorization.

488580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 488580 is about 698.9849783794. The cubic root of 488580 is about 78.7611221379.

The spelling of 488580 in words is "four hundred eighty-eight thousand, five hundred eighty".