400200 has 96 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 98560.

The previous prime is 400199. The next prime is 400207. The reversal of 400200 is 2004.

400200 is nontrivially palindromic in base 7 and base 9.

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 zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13786 + ... + 13814.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁴⁰⁰²⁰⁰ is an apocalyptic number.

400200 is a gapful number since it is divisible by the number (40) 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 400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

400200 is an abundant number, since it is smaller than the sum of its proper divisors (939000).

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

400200 is a wasteful number, since it uses less digits than its factorization.

400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

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

The square root of 400200 is about 632.6136261574. The cubic root of 400200 is about 73.6929080317.

Adding to 400200 its reverse (2004), we get a palindrome (402204).

The spelling of 400200 in words is "four hundred thousand, two hundred", and thus it is an iban number.