488268 has 60 divisors (see below), whose sum is σ = 1402632. Its totient is φ = 146880.

The previous prime is 488263. The next prime is 488287. The reversal of 488268 is 862884.

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

It is not an unprimeable number, because it can be changed into a prime (488261) by changing a digit.

488268 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 19 ways as a sum of consecutive naturals, for example, 3496 + ... + 3632.

2⁴⁸⁸²⁶⁸ 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 488268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701316).

488268 is an abundant number, since it is smaller than the sum of its proper divisors (914364).

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

488268 is a wasteful number, since it uses less digits than its factorization.

488268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 488268 is about 698.7617619761. The cubic root of 488268 is about 78.7443533366.

It can be divided in two parts, 4882 and 68, that added together give a triangular number (4950 = T₉₉).

The spelling of 488268 in words is "four hundred eighty-eight thousand, two hundred sixty-eight".