200550400 has 72 divisors (see below), whose sum is σ = 497370510. Its totient is φ = 80199680.

The previous prime is 200550391. The next prime is 200550431. The reversal of 200550400 is 4055002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 174662656 + 25887744 = 13216^2 + 5088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49242 + ... + 53158.

Almost surely, 2^200550400 is an apocalyptic number.

200550400 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 200550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248685255).

200550400 is an abundant number, since it is smaller than the sum of its proper divisors (296820110).

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

200550400 is an equidigital number, since it uses as much as digits as its factorization.

200550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 200550400 is about 14161.5818325496. The cubic root of 200550400 is about 585.3395160688.

The spelling of 200550400 in words is "two hundred million, five hundred fifty thousand, four hundred".