201445600 has 144 divisors (see below), whose sum is σ = 536684400. Its totient is φ = 73543680.

The previous prime is 201445507. The next prime is 201445609. The reversal of 201445600 is 6544102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201445609) 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, 440572 + ... + 441028.

It is an arithmetic number, because the mean of its divisors is an integer number (3726975).

Almost surely, 2^201445600 is an apocalyptic number.

201445600 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 201445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268342200).

201445600 is an abundant number, since it is smaller than the sum of its proper divisors (335238800).

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

201445600 is a wasteful number, since it uses less digits than its factorization.

201445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 201445600 is about 14193.1532789581. The cubic root of 201445600 is about 586.2091531711.

Adding to 201445600 its reverse (6544102), we get a palindrome (207989702).

The spelling of 201445600 in words is "two hundred one million, four hundred forty-five thousand, six hundred".