414314220 has 24 divisors (see below), whose sum is σ = 1160079984. Its totient is φ = 110483776.

The previous prime is 414314129. The next prime is 414314237. The reversal of 414314220 is 22413414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3452559 + ... + 3452678.

It is an arithmetic number, because the mean of its divisors is an integer number (48336666).

Almost surely, 2^414314220 is an apocalyptic number.

It is an amenable number.

414314220 is an abundant number, since it is smaller than the sum of its proper divisors (745765764).

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

414314220 is a wasteful number, since it uses less digits than its factorization.

414314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905249 (or 6905247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414314220 is about 20354.7100200420. The cubic root of 414314220 is about 745.4925019972.

Adding to 414314220 its reverse (22413414), we get a palindrome (436727634).

The spelling of 414314220 in words is "four hundred fourteen million, three hundred fourteen thousand, two hundred twenty".