200164400 has 60 divisors (see below), whose sum is σ = 501826512. Its totient is φ = 76581120.

The previous prime is 200164387. The next prime is 200164417. The reversal of 200164400 is 4461002.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1679 + ... + 20078.

Almost surely, 2^200164400 is an apocalyptic number.

200164400 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 200164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250913256).

200164400 is an abundant number, since it is smaller than the sum of its proper divisors (301662112).

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

200164400 is a wasteful number, since it uses less digits than its factorization.

200164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21798 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 200164400 is about 14147.9468475111. The cubic root of 200164400 is about 584.9637399300.

The spelling of 200164400 in words is "two hundred million, one hundred sixty-four thousand, four hundred".