406200 has 48 divisors (see below), whose sum is σ = 1261080. Its totient is φ = 108160.

The previous prime is 406183. The next prime is 406207. The reversal of 406200 is 2604.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 (406207) by changing a digit.

406200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262 + ... + 938.

2⁴⁰⁶²⁰⁰ is an apocalyptic number.

406200 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 406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630540).

406200 is an abundant number, since it is smaller than the sum of its proper divisors (854880).

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

406200 is a wasteful number, since it uses less digits than its factorization.

406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 406200 is about 637.3382147651. The cubic root of 406200 is about 74.0593631280.

Adding to 406200 its reverse (2604), we get a palindrome (408804).

It can be divided in two parts, 406 and 200, that added together give a palindrome (606).

The spelling of 406200 in words is "four hundred six thousand, two hundred".