448388320 has 96 divisors (see below), whose sum is σ = 1082870208. Its totient is φ = 175423488.

The previous prime is 448388287. The next prime is 448388323. The reversal of 448388320 is 23883844.

448388320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448388323) 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, 2591754 + ... + 2591926.

It is an arithmetic number, because the mean of its divisors is an integer number (11279898).

Almost surely, 2^448388320 is an apocalyptic number.

448388320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448388320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541435104).

448388320 is an abundant number, since it is smaller than the sum of its proper divisors (634481888).

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

448388320 is a wasteful number, since it uses less digits than its factorization.

448388320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 448388320 is about 21175.1816993385. The cubic root of 448388320 is about 765.3934894529.

The spelling of 448388320 in words is "four hundred forty-eight million, three hundred eighty-eight thousand, three hundred twenty".