200408 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 88320.

The previous prime is 200407. The next prime is 200437. The reversal of 200408 is 804002.

200408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200392 and 200401.

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 7 ways as a sum of consecutive naturals, for example, 4241 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁰⁰⁴⁰⁸ 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 200408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

200408 is an abundant number, since it is smaller than the sum of its proper divisors (222952).

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

200408 is a wasteful number, since it uses less digits than its factorization.

200408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 200408 is about 447.6695209638. The cubic root of 200408 is about 58.5200943948.

The spelling of 200408 in words is "two hundred thousand, four hundred eight".