406424214 has 96 divisors (see below), whose sum is σ = 1068387840. Its totient is φ = 109143936.

The previous prime is 406424209. The next prime is 406424251. The reversal of 406424214 is 412424604.

It is a happy number.

406424214 is a `hidden beast` number, since 4 + 0 + 642 + 4 + 2 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169794 + ... + 172170.

It is an arithmetic number, because the mean of its divisors is an integer number (11129040).

Almost surely, 2^406424214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406424214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534193920).

406424214 is an abundant number, since it is smaller than the sum of its proper divisors (661963626).

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

406424214 is a wasteful number, since it uses less digits than its factorization.

406424214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 406424214 is about 20159.9656249707. The cubic root of 406424214 is about 740.7298703393.

Adding to 406424214 its reverse (412424604), we get a palindrome (818848818).

It can be divided in two parts, 4064242 and 14, that added together give a square (4064256 = 2016²).

The spelling of 406424214 in words is "four hundred six million, four hundred twenty-four thousand, two hundred fourteen".