414534232 has 64 divisors (see below), whose sum is σ = 927590400. Its totient is φ = 169931520.

The previous prime is 414534227. The next prime is 414534257. The reversal of 414534232 is 232435414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 414534232.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 153163 + ... + 155845.

It is an arithmetic number, because the mean of its divisors is an integer number (14493600).

Almost surely, 2^414534232 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 414534232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463795200).

414534232 is an abundant number, since it is smaller than the sum of its proper divisors (513056168).

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

414534232 is a wasteful number, since it uses less digits than its factorization.

414534232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2812 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 414534232 is about 20360.1137521380. The cubic root of 414534232 is about 745.6244375061.

Adding to 414534232 its reverse (232435414), we get a palindrome (646969646).

The spelling of 414534232 in words is "four hundred fourteen million, five hundred thirty-four thousand, two hundred thirty-two".