413314432 has 48 divisors (see below), whose sum is σ = 835003620. Its totient is φ = 203773440.

The previous prime is 413314417. The next prime is 413314493. The reversal of 413314432 is 234413314.

It is a junction number, because it is equal to n+sod(n) for n = 413314397 and 413314406.

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 5 ways as a sum of consecutive naturals, for example, 2632498 + ... + 2632654.

Almost surely, 2^413314432 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 413314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417501810).

413314432 is an abundant number, since it is smaller than the sum of its proper divisors (421689188).

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

413314432 is an equidigital number, since it uses as much as digits as its factorization.

413314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 290 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 413314432 is about 20330.1360546357. The cubic root of 413314432 is about 744.8923658745.

Adding to 413314432 its reverse (234413314), we get a palindrome (647727746).

The spelling of 413314432 in words is "four hundred thirteen million, three hundred fourteen thousand, four hundred thirty-two".