448000 has 80 divisors (see below), whose sum is σ = 1276704. Its totient is φ = 153600.

The previous prime is 447991. The next prime is 448003. The reversal of 448000 is 844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448003) by changing a digit.

448000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63997 + ... + 64003.

2⁴⁴⁸⁰⁰⁰ is an apocalyptic number.

448000 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 448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352).

448000 is an abundant number, since it is smaller than the sum of its proper divisors (828704).

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

448000 is an frugal number, since it uses more digits than its factorization.

448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 448000 is about 669.3280212273. The cubic root of 448000 is about 76.5172473109.

Adding to 448000 its reverse (844), we get a palindrome (448844).

The spelling of 448000 in words is "four hundred forty-eight thousand".