448656 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 137856.

The previous prime is 448633. The next prime is 448667. The reversal of 448656 is 656844.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448656.

It is an unprimeable number.

448656 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 7 ways as a sum of consecutive naturals, for example, 265 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴⁴⁸⁶⁵⁶ 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 448656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

448656 is an abundant number, since it is smaller than the sum of its proper divisors (801264).

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

448656 is a wasteful number, since it uses less digits than its factorization.

448656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 448656 is about 669.8178856973. The cubic root of 448656 is about 76.5545768005.

The spelling of 448656 in words is "four hundred forty-eight thousand, six hundred fifty-six".