406324200 has 96 divisors (see below), whose sum is σ = 1288980000. Its totient is φ = 105826560.

The previous prime is 406324199. The next prime is 406324229. The reversal of 406324200 is 2423604.

406324200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17926 + ... + 33674.

It is an arithmetic number, because the mean of its divisors is an integer number (13426875).

Almost surely, 2^406324200 is an apocalyptic number.

406324200 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 406324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644490000).

406324200 is an abundant number, since it is smaller than the sum of its proper divisors (882655800).

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

406324200 is a wasteful number, since it uses less digits than its factorization.

406324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15811 (or 15802 counting only the distinct ones).

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

The square root of 406324200 is about 20157.4849621673. The cubic root of 406324200 is about 740.6691050663.

Adding to 406324200 its reverse (2423604), we get a palindrome (408747804).

The spelling of 406324200 in words is "four hundred six million, three hundred twenty-four thousand, two hundred".