200590400 has 84 divisors (see below), whose sum is σ = 496439952. Its totient is φ = 79772160.

The previous prime is 200590339. The next prime is 200590421. The reversal of 200590400 is 4095002.

200590400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452579 + ... + 453021.

Almost surely, 2^200590400 is an apocalyptic number.

200590400 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 200590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248219976).

200590400 is an abundant number, since it is smaller than the sum of its proper divisors (295849552).

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

200590400 is a wasteful number, since it uses less digits than its factorization.

200590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 200590400 is about 14162.9940337487. The cubic root of 200590400 is about 585.3784290207.

The spelling of 200590400 in words is "two hundred million, five hundred ninety thousand, four hundred".