406209424 has 40 divisors (see below), whose sum is σ = 835493400. Its totient is φ = 190660608.

The previous prime is 406209413. The next prime is 406209451. The reversal of 406209424 is 424902604.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 405619600 = 768^2 + 20140^2 .

It is a super-2 number, since 2×406209424² = 330012192292823552, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 116052 + ... + 119500.

It is an arithmetic number, because the mean of its divisors is an integer number (20887335).

Almost surely, 2^406209424 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 406209424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417746700).

406209424 is an abundant number, since it is smaller than the sum of its proper divisors (429283976).

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

406209424 is a wasteful number, since it uses less digits than its factorization.

406209424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 406209424 is about 20154.6377789332. The cubic root of 406209424 is about 740.5993585905.

The spelling of 406209424 in words is "four hundred six million, two hundred nine thousand, four hundred twenty-four".