413432404 has 72 divisors (see below), whose sum is σ = 923203008. Its totient is φ = 160191360.

The previous prime is 413432389. The next prime is 413432423. The reversal of 413432404 is 404234314.

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 23 ways as a sum of consecutive naturals, for example, 501937 + ... + 502759.

It is an arithmetic number, because the mean of its divisors is an integer number (12822264).

Almost surely, 2^413432404 is an apocalyptic number.

413432404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413432404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461601504).

413432404 is an abundant number, since it is smaller than the sum of its proper divisors (509770604).

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

413432404 is a wasteful number, since it uses less digits than its factorization.

413432404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 413432404 is about 20333.0372546750. The cubic root of 413432404 is about 744.9632304721.

Adding to 413432404 its reverse (404234314), we get a palindrome (817666718).

The spelling of 413432404 in words is "four hundred thirteen million, four hundred thirty-two thousand, four hundred four".