488584 has 16 divisors (see below), whose sum is σ = 924300. Its totient is φ = 242112.

The previous prime is 488573. The next prime is 488603. The reversal of 488584 is 485884.

488584 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 459684 + 28900 = 678^2 + 170^2 .

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, 1062 + ... + 1450.

2⁴⁸⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

488584 is a deficient number, since it is larger than the sum of its proper divisors (435716).

488584 is a wasteful number, since it uses less digits than its factorization.

488584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its digits is 40960, while the sum is 37.

The square root of 488584 is about 698.9878396653. The cubic root of 488584 is about 78.7613370761.

It can be divided in two parts, 4 and 88584, that added together give a palindrome (88588).

The spelling of 488584 in words is "four hundred eighty-eight thousand, five hundred eighty-four".