414430344 has 80 divisors (see below), whose sum is σ = 1176824220. Its totient is φ = 136235520.

The previous prime is 414430339. The next prime is 414430381. The reversal of 414430344 is 443034414.

It can be written as a sum of positive squares in 2 ways, for example, as 395612100 + 18818244 = 19890^2 + 4338^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 42924 + ... + 51684.

Almost surely, 2^414430344 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 414430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588412110).

414430344 is an abundant number, since it is smaller than the sum of its proper divisors (762393876).

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

414430344 is a wasteful number, since it uses less digits than its factorization.

414430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 8839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 414430344 is about 20357.5623295128. The cubic root of 414430344 is about 745.5621443768.

Adding to 414430344 its reverse (443034414), we get a palindrome (857464758).

The spelling of 414430344 in words is "four hundred fourteen million, four hundred thirty thousand, three hundred forty-four".