414412332 has 48 divisors (see below), whose sum is σ = 1033290720. Its totient is φ = 128812032.

The previous prime is 414412319. The next prime is 414412357. The reversal of 414412332 is 233214414.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12918 + ... + 31554.

It is an arithmetic number, because the mean of its divisors is an integer number (21526890).

Almost surely, 2^414412332 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 414412332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516645360).

414412332 is an abundant number, since it is smaller than the sum of its proper divisors (618878388).

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

414412332 is a wasteful number, since it uses less digits than its factorization.

414412332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18770 (or 18768 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 414412332 is about 20357.1199338217. The cubic root of 414412332 is about 745.5513429960.

Adding to 414412332 its reverse (233214414), we get a palindrome (647626746).

The spelling of 414412332 in words is "four hundred fourteen million, four hundred twelve thousand, three hundred thirty-two".