448668 has 54 divisors (see below), whose sum is σ = 1258712. Its totient is φ = 134640.

The previous prime is 448667. The next prime is 448687. The reversal of 448668 is 866844.

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

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 448668.

It is not an unprimeable number, because it can be changed into a prime (448667) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4305 + ... + 4407.

2⁴⁴⁸⁶⁶⁸ 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 448668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629356).

448668 is an abundant number, since it is smaller than the sum of its proper divisors (810044).

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

448668 is a wasteful number, since it uses less digits than its factorization.

448668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 448668 is about 669.8268432961. The cubic root of 448668 is about 76.5552593180. Note that the first 3 decimals are identical.

It can be divided in two parts, 4486 and 68, that added together give a palindrome (4554).

The spelling of 448668 in words is "four hundred forty-eight thousand, six hundred sixty-eight".