413604432 has 60 divisors (see below), whose sum is σ = 1160277300. Its totient is φ = 137539584.

The previous prime is 413604419. The next prime is 413604439. The reversal of 413604432 is 234406314.

413604432 is a `hidden beast` number, since 4 + 13 + 604 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92621376 + 320983056 = 9624^2 + 17916^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413604396 and 413604405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413604439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61458 + ... + 67854.

It is an arithmetic number, because the mean of its divisors is an integer number (19337955).

Almost surely, 2^413604432 is an apocalyptic number.

It is an amenable number.

413604432 is an abundant number, since it is smaller than the sum of its proper divisors (746672868).

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

413604432 is a wasteful number, since it uses less digits than its factorization.

413604432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6860 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 413604432 is about 20337.2670730361. The cubic root of 413604432 is about 745.0665418096.

The spelling of 413604432 in words is "four hundred thirteen million, six hundred four thousand, four hundred thirty-two".