488768 has 28 divisors (see below), whose sum is σ = 1109472. Its totient is φ = 209280.

The previous prime is 488759. The next prime is 488779. The reversal of 488768 is 867884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a nialpdrome in base 16.

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 488768.

It is an unprimeable number.

488768 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2⁴⁸⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

488768 is an abundant number, since it is smaller than the sum of its proper divisors (620704).

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

488768 is a wasteful number, since it uses less digits than its factorization.

488768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 488768 is about 699.1194461607. The cubic root of 488768 is about 78.7712229689.

It can be divided in two parts, 48876 and 8, that added together give a palindrome (48884).

The spelling of 488768 in words is "four hundred eighty-eight thousand, seven hundred sixty-eight".