488763 has 12 divisors (see below), whose sum is σ = 770328. Its totient is φ = 296160.

The previous prime is 488759. The next prime is 488779. The reversal of 488763 is 367884.

488763 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 488763 - 2² = 488759 is a prime.

488763 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (488723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370 + ... + 2567.

It is an arithmetic number, because the mean of its divisors is an integer number (64194).

2⁴⁸⁸⁷⁶³ is an apocalyptic number.

488763 is a deficient number, since it is larger than the sum of its proper divisors (281565).

488763 is a wasteful number, since it uses less digits than its factorization.

488763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954 (or 4951 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 488763 is about 699.1158702247. The cubic root of 488763 is about 78.7709543633.

It can be divided in two parts, 4887 and 63, that added together give a triangular number (4950 = T₉₉).

The spelling of 488763 in words is "four hundred eighty-eight thousand, seven hundred sixty-three".