414225232 has 40 divisors (see below), whose sum is σ = 851532800. Its totient is φ = 194648832.

The previous prime is 414225223. The next prime is 414225269. The reversal of 414225232 is 232522414.

It is a junction number, because it is equal to n+sod(n) for n = 414225197 and 414225206.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 33244 + ... + 43972.

It is an arithmetic number, because the mean of its divisors is an integer number (21288320).

Almost surely, 2^414225232 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 414225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425766400).

414225232 is an abundant number, since it is smaller than the sum of its proper divisors (437307568).

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

414225232 is a wasteful number, since it uses less digits than its factorization.

414225232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883 (or 10877 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 414225232 is about 20352.5239712425. The cubic root of 414225232 is about 745.4391249275.

Adding to 414225232 its reverse (232522414), we get a palindrome (646747646).

The spelling of 414225232 in words is "four hundred fourteen million, two hundred twenty-five thousand, two hundred thirty-two".