413032 has 16 divisors (see below), whose sum is σ = 820260. Its totient is φ = 194304.

The previous prime is 413027. The next prime is 413033. The reversal of 413032 is 230314.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 45796 = 606^2 + 214^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413033) by changing a digit.

413032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383 + ... + 1654.

2⁴¹³⁰³² is an apocalyptic number.

It is an amenable number.

413032 is a deficient number, since it is larger than the sum of its proper divisors (407228).

413032 is a wasteful number, since it uses less digits than its factorization.

413032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 413032 is about 642.6756569219. The cubic root of 413032 is about 74.4722657002.

Adding to 413032 its reverse (230314), we get a palindrome (643346).

The spelling of 413032 in words is "four hundred thirteen thousand, thirty-two".