201444320 has 192 divisors, whose sum is σ = 603542016. Its totient is φ = 61716480.

The previous prime is 201444319. The next prime is 201444323. The reversal of 201444320 is 23444102.

201444320 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 201444292 and 201444301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201444323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022462 + ... + 1022658.

It is an arithmetic number, because the mean of its divisors is an integer number (3143448).

Almost surely, 2^201444320 is an apocalyptic number.

201444320 is a gapful number since it is divisible by the number (20) 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 201444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301771008).

201444320 is an abundant number, since it is smaller than the sum of its proper divisors (402097696).

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

201444320 is a wasteful number, since it uses less digits than its factorization.

201444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 201444320 is about 14193.1081867222. The cubic root of 201444320 is about 586.2079115633.

Adding to 201444320 its reverse (23444102), we get a palindrome (224888422).

The spelling of 201444320 in words is "two hundred one million, four hundred forty-four thousand, three hundred twenty".