200940000 has 240 divisors, whose sum is σ = 701437968. Its totient is φ = 50176000.

The previous prime is 200939987. The next prime is 200940001. The reversal of 200940000 is 49002.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200940001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019902 + ... + 1020098.

Almost surely, 2^200940000 is an apocalyptic number.

200940000 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 200940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350718984).

200940000 is an abundant number, since it is smaller than the sum of its proper divisors (500497968).

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

200940000 is a wasteful number, since it uses less digits than its factorization.

200940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 200940000 is about 14175.3306839735. The cubic root of 200940000 is about 585.7183082356.

Adding to 200940000 its reverse (49002), we get a palindrome (200989002).

The spelling of 200940000 in words is "two hundred million, nine hundred forty thousand".