200534400 has 384 divisors, whose sum is σ = 804412800. Its totient is φ = 48384000.

The previous prime is 200534357. The next prime is 200534429. The reversal of 200534400 is 4435002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 950295 + ... + 950505.

It is an arithmetic number, because the mean of its divisors is an integer number (2094825).

Almost surely, 2^200534400 is an apocalyptic number.

200534400 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 200534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402206400).

200534400 is an abundant number, since it is smaller than the sum of its proper divisors (603878400).

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

200534400 is a wasteful number, since it uses less digits than its factorization.

200534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 200534400 is about 14161.0169126373. The cubic root of 200534400 is about 585.3239494393.

Adding to 200534400 its reverse (4435002), we get a palindrome (204969402).

The spelling of 200534400 in words is "two hundred million, five hundred thirty-four thousand, four hundred".