413420 has 24 divisors (see below), whose sum is σ = 992544. Its totient is φ = 141696.

The previous prime is 413417. The next prime is 413429. The reversal of 413420 is 24314.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 413395 and 413404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413420.

It is not an unprimeable number, because it can be changed into a prime (413429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337 + ... + 1616.

It is an arithmetic number, because the mean of its divisors is an integer number (41356).

2⁴¹³⁴²⁰ is an apocalyptic number.

It is an amenable number.

413420 is an abundant number, since it is smaller than the sum of its proper divisors (579124).

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

413420 is a wasteful number, since it uses less digits than its factorization.

413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 413420 is about 642.9774490602. The cubic root of 413420 is about 74.4955780148.

Adding to 413420 its reverse (24314), we get a palindrome (437734).

The spelling of 413420 in words is "four hundred thirteen thousand, four hundred twenty".