413362 has 12 divisors (see below), whose sum is σ = 644238. Its totient is φ = 198800.

The previous prime is 413353. The next prime is 413411. The reversal of 413362 is 263314.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 5041 = 639^2 + 71^2 .

It is an unprimeable number.

413362 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 5 ways as a sum of consecutive naturals, for example, 5787 + ... + 5857.

2⁴¹³³⁶² is an apocalyptic number.

413362 is a deficient number, since it is larger than the sum of its proper divisors (230876).

413362 is an equidigital number, since it uses as much as digits as its factorization.

413362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 114 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 413362 is about 642.9323448078. The cubic root of 413362 is about 74.4920941117.

Adding to 413362 its reverse (263314), we get a palindrome (676676).

It can be divided in two parts, 41 and 3362, that added together give a triangular number (3403 = T₈₂).

The spelling of 413362 in words is "four hundred thirteen thousand, three hundred sixty-two".