448868 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 168960.

The previous prime is 448867. The next prime is 448871. The reversal of 448868 is 868844.

448868 = T₁₂₇ + T₁₂₈ + ... + T₁₆₇.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (448867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10928 + ... + 10968.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁴⁴⁸⁸⁶⁸ 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 448868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

448868 is an abundant number, since it is smaller than the sum of its proper divisors (567196).

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

448868 is a wasteful number, since it uses less digits than its factorization.

448868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 448868 is about 669.9761189774. The cubic root of 448868 is about 76.5666328187.

The spelling of 448868 in words is "four hundred forty-eight thousand, eight hundred sixty-eight".