414232 has 32 divisors (see below), whose sum is σ = 957600. Its totient is φ = 163584.

The previous prime is 414221. The next prime is 414241. The reversal of 414232 is 232414.

414232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

414232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444 + ... + 1012.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁴¹⁴²³² 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 414232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

414232 is an abundant number, since it is smaller than the sum of its proper divisors (543368).

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

414232 is a wasteful number, since it uses less digits than its factorization.

414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 414232 is about 643.6085766986. The cubic root of 414232 is about 74.5443184800.

Adding to 414232 its reverse (232414), we get a palindrome (646646).

It can be divided in two parts, 414 and 232, that added together give a palindrome (646).

The spelling of 414232 in words is "four hundred fourteen thousand, two hundred thirty-two".