200427200 has 126 divisors (see below), whose sum is σ = 521998956. Its totient is φ = 75732480.

The previous prime is 200427179. The next prime is 200427203. The reversal of 200427200 is 2724002.

It is not an unprimeable number, because it can be changed into a prime (200427203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 577427 + ... + 577773.

Almost surely, 2^200427200 is an apocalyptic number.

200427200 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 200427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260999478).

200427200 is an abundant number, since it is smaller than the sum of its proper divisors (321571756).

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

200427200 is a wasteful number, since it uses less digits than its factorization.

200427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 200427200 is about 14157.2313677498. The cubic root of 200427200 is about 585.2196316571.

The spelling of 200427200 in words is "two hundred million, four hundred twenty-seven thousand, two hundred".