413132232 has 64 divisors (see below), whose sum is σ = 1123182720. Its totient is φ = 126102528.

The previous prime is 413132227. The next prime is 413132263. The reversal of 413132232 is 232231314.

It is a super-2 number, since 2×413132232² = 341356482234603648, which contains 22 as substring.

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 = 413132199 and 413132208.

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, 1413 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (17549730).

Almost surely, 2^413132232 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 413132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561591360).

413132232 is an abundant number, since it is smaller than the sum of its proper divisors (710050488).

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

413132232 is a wasteful number, since it uses less digits than its factorization.

413132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27430 (or 27426 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 413132232 is about 20325.6545282065. The cubic root of 413132232 is about 744.7828936613.

Adding to 413132232 its reverse (232231314), we get a palindrome (645363546).

It can be divided in two parts, 4131 and 32232, that added together give a palindrome (36363).

The spelling of 413132232 in words is "four hundred thirteen million, one hundred thirty-two thousand, two hundred thirty-two".