413312 has 16 divisors (see below), whose sum is σ = 823650. Its totient is φ = 206592.

The previous prime is 413299. The next prime is 413353. The reversal of 413312 is 213314.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 33856 = 616^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

413312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1487 + ... + 1742.

2⁴¹³³¹² is an apocalyptic number.

It is an amenable number.

413312 is a deficient number, since it is larger than the sum of its proper divisors (410338).

413312 is an equidigital number, since it uses as much as digits as its factorization.

413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3243 (or 3231 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 413312 is about 642.8934592917. The cubic root of 413312 is about 74.4890904855.

Adding to 413312 its reverse (213314), we get a palindrome (626626).

The spelling of 413312 in words is "four hundred thirteen thousand, three hundred twelve".