200400 has 60 divisors (see below), whose sum is σ = 645792. Its totient is φ = 53120.

The previous prime is 200383. The next prime is 200401. The reversal of 200400 is 4002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 1283.

2²⁰⁰⁴⁰⁰ is an apocalyptic number.

200400 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 200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322896).

200400 is an abundant number, since it is smaller than the sum of its proper divisors (445392).

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

200400 is a wasteful number, since it uses less digits than its factorization.

200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 200400 is about 447.6605857120. The cubic root of 200400 is about 58.5193157050.

Adding to 200400 its reverse (4002), we get a palindrome (204402).

The spelling of 200400 in words is "two hundred thousand, four hundred", and thus it is an iban number.