200432000 has 64 divisors (see below), whose sum is σ = 498363840. Its totient is φ = 80166400.

The previous prime is 200431993. The next prime is 200432039. The reversal of 200432000 is 234002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9737 + ... + 22263.

It is an arithmetic number, because the mean of its divisors is an integer number (7786935).

Almost surely, 2^200432000 is an apocalyptic number.

200432000 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 200432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181920).

200432000 is an abundant number, since it is smaller than the sum of its proper divisors (297931840).

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

200432000 is an equidigital number, since it uses as much as digits as its factorization.

200432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 200432000 is about 14157.4008914066. The cubic root of 200432000 is about 585.2243033980.

Adding to 200432000 its reverse (234002), we get a palindrome (200666002).

The spelling of 200432000 in words is "two hundred million, four hundred thirty-two thousand".