488592 has 100 divisors (see below), whose sum is σ = 1575420. Its totient is φ = 145152.

The previous prime is 488573. The next prime is 488603. The reversal of 488592 is 295884.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 331776 = 396^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

488592 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 19 ways as a sum of consecutive naturals, for example, 16834 + ... + 16862.

488592 is a Friedman number, since it can be written as 54288*9, using all its digits and the basic arithmetic operations.

2⁴⁸⁸⁵⁹² 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 488592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787710).

488592 is an abundant number, since it is smaller than the sum of its proper divisors (1086828).

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

488592 is a wasteful number, since it uses less digits than its factorization.

488592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 47 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 488592 is about 698.9935622021. The cubic root of 488592 is about 78.7617669492.

The spelling of 488592 in words is "four hundred eighty-eight thousand, five hundred ninety-two".