488048 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 213440.

The previous prime is 488021. The next prime is 488051. The reversal of 488048 is 840884.

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 488048.

It is an unprimeable number.

488048 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 7 ways as a sum of consecutive naturals, for example, 8243 + ... + 8301.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁸⁸⁰⁴⁸ 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 488048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

488048 is an abundant number, since it is smaller than the sum of its proper divisors (583312).

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

488048 is a wasteful number, since it uses less digits than its factorization.

488048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 488048 is about 698.6043229182. The cubic root of 488048 is about 78.7325248870.

Subtracting 488048 from its reverse (840884), we obtain a square (352836 = 594²).

The spelling of 488048 in words is "four hundred eighty-eight thousand, forty-eight".