448200 has 96 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 118080.

The previous prime is 448199. The next prime is 448207. The reversal of 448200 is 2844.

It is a happy number.

448200 is digitally balanced in base 3, 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 (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448200.

It is not an unprimeable number, because it can be changed into a prime (448207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5359 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2⁴⁴⁸²⁰⁰ is an apocalyptic number.

448200 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 448200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

448200 is an abundant number, since it is smaller than the sum of its proper divisors (1114200).

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

448200 is a wasteful number, since it uses less digits than its factorization.

448200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 448200 is about 669.4774081326. The cubic root of 448200 is about 76.5286321120.

The spelling of 448200 in words is "four hundred forty-eight thousand, two hundred".