200940240 has 80 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 53408256.

The previous prime is 200940191. The next prime is 200940251. The reversal of 200940240 is 42049002.

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

It is a super-3 number, since 3×200940240³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82561 + ... + 84959.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^200940240 is an apocalyptic number.

200940240 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 200940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

200940240 is an abundant number, since it is smaller than the sum of its proper divisors (424019760).

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

200940240 is a wasteful number, since it uses less digits than its factorization.

200940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 200940240 is about 14175.3391493819. The cubic root of 200940240 is about 585.7185414268.

Adding to 200940240 its reverse (42049002), we get a palindrome (242989242).

The spelling of 200940240 in words is "two hundred million, nine hundred forty thousand, two hundred forty".