448896 has 64 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 127488.

The previous prime is 448883. The next prime is 448907. The reversal of 448896 is 698844.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 14.

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 448896.

It is an unprimeable number.

448896 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, 2605 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2⁴⁴⁸⁸⁹⁶ 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 448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

448896 is an abundant number, since it is smaller than the sum of its proper divisors (921984).

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

448896 is a wasteful number, since it uses less digits than its factorization.

448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 448896 is about 669.9970149187. The cubic root of 448896 is about 76.5682248392.

The spelling of 448896 in words is "four hundred forty-eight thousand, eight hundred ninety-six".