200448 has 72 divisors (see below), whose sum is σ = 613200. Its totient is φ = 64512.

The previous prime is 200443. The next prime is 200461. The reversal of 200448 is 844002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 200448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6898 + ... + 6926.

2²⁰⁰⁴⁴⁸ 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 200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306600).

200448 is an abundant number, since it is smaller than the sum of its proper divisors (412752).

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

200448 is an equidigital number, since it uses as much as digits as its factorization.

200448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

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

The square root of 200448 is about 447.7141945483. The cubic root of 200448 is about 58.5239875329.

Adding to 200448 its product of nonzero digits (256), we get a square (200704 = 448²).

The spelling of 200448 in words is "two hundred thousand, four hundred forty-eight".