413380 has 24 divisors (see below), whose sum is σ = 947520. Its totient is φ = 150240.

The previous prime is 413353. The next prime is 413411. The reversal of 413380 is 83314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720 + ... + 1159.

It is an arithmetic number, because the mean of its divisors is an integer number (39480).

2⁴¹³³⁸⁰ is an apocalyptic number.

It is an amenable number.

413380 is an abundant number, since it is smaller than the sum of its proper divisors (534140).

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

413380 is a wasteful number, since it uses less digits than its factorization.

413380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 413380 is about 642.9463430178. The cubic root of 413380 is about 74.4931753579.

Adding to 413380 its reverse (83314), we get a palindrome (496694).

The spelling of 413380 in words is "four hundred thirteen thousand, three hundred eighty".