413604 has 18 divisors (see below), whose sum is σ = 1045590. Its totient is φ = 137856.

The previous prime is 413597. The next prime is 413629. The reversal of 413604 is 406314.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 108900 = 552^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is an unprimeable number.

413604 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, 5709 + ... + 5780.

2⁴¹³⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

413604 is an abundant number, since it is smaller than the sum of its proper divisors (631986).

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

413604 is a wasteful number, since it uses less digits than its factorization.

413604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413604 is about 643.1205174771. The cubic root of 413604 is about 74.5066282408.

Adding to 413604 its reverse (406314), we get a palindrome (819918).

The spelling of 413604 in words is "four hundred thirteen thousand, six hundred four".