448380 has 72 divisors (see below), whose sum is σ = 1415232. Its totient is φ = 114816.

The previous prime is 448379. The next prime is 448387. The reversal of 448380 is 83844.

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 448380.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8434 + ... + 8486.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁴⁴⁸³⁸⁰ 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 448380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616).

448380 is an abundant number, since it is smaller than the sum of its proper divisors (966852).

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

448380 is a wasteful number, since it uses less digits than its factorization.

448380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 448380 is about 669.6118278525. The cubic root of 448380 is about 76.5388755377.

It can be divided in two parts, 448 and 380, that added together give a palindrome (828).

The spelling of 448380 in words is "four hundred forty-eight thousand, three hundred eighty".