413484 has 12 divisors (see below), whose sum is σ = 964824. Its totient is φ = 137824.

The previous prime is 413477. The next prime is 413521. The reversal of 413484 is 484314.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17217 + ... + 17240.

It is an arithmetic number, because the mean of its divisors is an integer number (80402).

2⁴¹³⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

413484 is an abundant number, since it is smaller than the sum of its proper divisors (551340).

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

413484 is a wasteful number, since it uses less digits than its factorization.

413484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34464 (or 34462 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 413484 is about 643.0272155982. The cubic root of 413484 is about 74.4994219435.

Adding to 413484 its reverse (484314), we get a palindrome (897798).

The spelling of 413484 in words is "four hundred thirteen thousand, four hundred eighty-four".