201044240 has 80 divisors (see below), whose sum is σ = 487134000. Its totient is φ = 77070336.

The previous prime is 201044231. The next prime is 201044243. The reversal of 201044240 is 42440102.

It can be written as a sum of positive squares in 8 ways, for example, as 3810304 + 197233936 = 1952^2 + 14044^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201044243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447536 + ... + 447984.

It is an arithmetic number, because the mean of its divisors is an integer number (6089175).

Almost surely, 2^201044240 is an apocalyptic number.

201044240 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 201044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243567000).

201044240 is an abundant number, since it is smaller than the sum of its proper divisors (286089760).

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

201044240 is a wasteful number, since it uses less digits than its factorization.

201044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 201044240 is about 14179.0070174184. The cubic root of 201044240 is about 585.8195734919.

Adding to 201044240 its reverse (42440102), we get a palindrome (243484342).

The spelling of 201044240 in words is "two hundred one million, forty-four thousand, two hundred forty".