448384 has 32 divisors (see below), whose sum is σ = 930240. Its totient is φ = 215040.

The previous prime is 448379. The next prime is 448387. The reversal of 448384 is 483844.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×448384² = 402096422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3912 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁴⁴⁸³⁸⁴ 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 448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465120).

448384 is an abundant number, since it is smaller than the sum of its proper divisors (481856).

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

448384 is a wasteful number, since it uses less digits than its factorization.

448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 448384 is about 669.6148146509. The cubic root of 448384 is about 76.5391031382.

The spelling of 448384 in words is "four hundred forty-eight thousand, three hundred eighty-four".