488085 has 16 divisors (see below), whose sum is σ = 841344. Its totient is φ = 240192.

The previous prime is 488069. The next prime is 488119. The reversal of 488085 is 580884.

It is not a de Polignac number, because 488085 - 2⁴ = 488069 is a prime.

488085 is a lucky number.

It is a nialpdrome in base 15.

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 488085.

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 15 ways as a sum of consecutive naturals, for example, 1057 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (52584).

2⁴⁸⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

488085 is a deficient number, since it is larger than the sum of its proper divisors (353259).

488085 is a wasteful number, since it uses less digits than its factorization.

488085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524.

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

The square root of 488085 is about 698.6308037870. The cubic root of 488085 is about 78.7345144658.

The spelling of 488085 in words is "four hundred eighty-eight thousand, eighty-five".