200473200 has 180 divisors, whose sum is σ = 701606880. Its totient is φ = 53007360.

The previous prime is 200473193. The next prime is 200473219. The reversal of 200473200 is 2374002.

It is a happy number.

200473200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×200473200³ (a number of 26 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 838681 + ... + 838919.

It is an arithmetic number, because the mean of its divisors is an integer number (3897816).

Almost surely, 2^200473200 is an apocalyptic number.

200473200 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 200473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350803440).

200473200 is an abundant number, since it is smaller than the sum of its proper divisors (501133680).

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

200473200 is a wasteful number, since it uses less digits than its factorization.

200473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 200473200 is about 14158.8558859817. The cubic root of 200473200 is about 585.2643994396.

The spelling of 200473200 in words is "two hundred million, four hundred seventy-three thousand, two hundred".