413304 has 32 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 129536.

The previous prime is 413299. The next prime is 413353. The reversal of 413304 is 403314.

It is a congruent number.

It is an unprimeable number.

413304 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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 914.

2⁴¹³³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

413304 is an abundant number, since it is smaller than the sum of its proper divisors (681816).

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

413304 is a wasteful number, since it uses less digits than its factorization.

413304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 413304 is about 642.8872373908. The cubic root of 413304 is about 74.4886098828.

Adding to 413304 its reverse (403314), we get a palindrome (816618).

It can be divided in two parts, 413 and 304, that added together give a palindrome (717).

The spelling of 413304 in words is "four hundred thirteen thousand, three hundred four".