414305132 has 24 divisors (see below), whose sum is σ = 745785264. Its totient is φ = 201241152.

The previous prime is 414305119. The next prime is 414305159. The reversal of 414305132 is 231503414.

It is a junction number, because it is equal to n+sod(n) for n = 414305098 and 414305107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114698 + ... + 118254.

It is an arithmetic number, because the mean of its divisors is an integer number (31074386).

Almost surely, 2^414305132 is an apocalyptic number.

It is an amenable number.

414305132 is a deficient number, since it is larger than the sum of its proper divisors (331480132).

414305132 is a wasteful number, since it uses less digits than its factorization.

414305132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 414305132 is about 20354.4867781037. The cubic root of 414305132 is about 745.4870511541.

Adding to 414305132 its reverse (231503414), we get a palindrome (645808546).

The spelling of 414305132 in words is "four hundred fourteen million, three hundred five thousand, one hundred thirty-two".