488748 has 36 divisors (see below), whose sum is σ = 1240008. Its totient is φ = 149760.

The previous prime is 488743. The next prime is 488749. The reversal of 488748 is 847884.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 488748.

It is not an unprimeable number, because it can be changed into a prime (488743) by changing a digit.

488748 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1908 + ... + 2148.

2⁴⁸⁸⁷⁴⁸ 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 488748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620004).

488748 is an abundant number, since it is smaller than the sum of its proper divisors (751260).

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

488748 is a wasteful number, since it uses less digits than its factorization.

488748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 488748 is about 699.1051423069. The cubic root of 488748 is about 78.7701485356.

It can be divided in two parts, 48 and 8748, that multiplied together give a square (419904 = 648²).

The spelling of 488748 in words is "four hundred eighty-eight thousand, seven hundred forty-eight".