414221232 has 80 divisors (see below), whose sum is σ = 1094740448. Its totient is φ = 134922240.

The previous prime is 414221209. The next prime is 414221267. The reversal of 414221232 is 232122414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414221199 and 414221208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564738 + ... + 565470.

Almost surely, 2^414221232 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 414221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547370224).

414221232 is an abundant number, since it is smaller than the sum of its proper divisors (680519216).

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

414221232 is a wasteful number, since it uses less digits than its factorization.

414221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

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

The square root of 414221232 is about 20352.4257030950. The cubic root of 414221232 is about 745.4367254551.

Adding to 414221232 its reverse (232122414), we get a palindrome (646343646).

The spelling of 414221232 in words is "four hundred fourteen million, two hundred twenty-one thousand, two hundred thirty-two".