406342200 has 288 divisors, whose sum is σ = 1439751600. Its totient is φ = 94617600.

The previous prime is 406342169. The next prime is 406342207. The reversal of 406342200 is 2243604.

It is a super-2 number, since 2×406342200² = 330227967001680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406342207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2105304 + ... + 2105496.

Almost surely, 2^406342200 is an apocalyptic number.

406342200 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 406342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719875800).

406342200 is an abundant number, since it is smaller than the sum of its proper divisors (1033409400).

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

406342200 is a wasteful number, since it uses less digits than its factorization.

406342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 406342200 is about 20157.9314414947. The cubic root of 406342200 is about 740.6800420201.

Adding to 406342200 its reverse (2243604), we get a palindrome (408585804).

The spelling of 406342200 in words is "four hundred six million, three hundred forty-two thousand, two hundred".