200809440 has 288 divisors, whose sum is σ = 782623296. Its totient is φ = 46448640.

The previous prime is 200809439. The next prime is 200809447. The reversal of 200809440 is 44908002.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×200809440² = 80648862386227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200809447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317925 + ... + 318555.

It is an arithmetic number, because the mean of its divisors is an integer number (2717442).

Almost surely, 2^200809440 is an apocalyptic number.

200809440 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 200809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391311648).

200809440 is an abundant number, since it is smaller than the sum of its proper divisors (581813856).

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

200809440 is a wasteful number, since it uses less digits than its factorization.

200809440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 200809440 is about 14170.7247521078. The cubic root of 200809440 is about 585.5914246706.

The spelling of 200809440 in words is "two hundred million, eight hundred nine thousand, four hundred forty".