413520 has 40 divisors (see below), whose sum is σ = 1282656. Its totient is φ = 110208.

The previous prime is 413477. The next prime is 413521. The reversal of 413520 is 25314.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 413520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622 + ... + 1101.

2⁴¹³⁵²⁰ is an apocalyptic number.

413520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413520 is an abundant number, since it is smaller than the sum of its proper divisors (869136).

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

413520 is a wasteful number, since it uses less digits than its factorization.

413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 413520 is about 643.0552075833. The cubic root of 413520 is about 74.5015839791.

Adding to 413520 its reverse (25314), we get a palindrome (438834).

The spelling of 413520 in words is "four hundred thirteen thousand, five hundred twenty".