200442528 has 288 divisors, whose sum is σ = 695665152. Its totient is φ = 53913600.

The previous prime is 200442527. The next prime is 200442553. The reversal of 200442528 is 825244002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200442527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276626 + ... + 1276782.

It is an arithmetic number, because the mean of its divisors is an integer number (2415504).

Almost surely, 2^200442528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347832576).

200442528 is an abundant number, since it is smaller than the sum of its proper divisors (495222624).

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

200442528 is a wasteful number, since it uses less digits than its factorization.

200442528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 200442528 is about 14157.7727061851. The cubic root of 200442528 is about 585.2345498217.

The spelling of 200442528 in words is "two hundred million, four hundred forty-two thousand, five hundred twenty-eight".