413401 has 4 divisors (see below), whose sum is σ = 424612. Its totient is φ = 402192.

The previous prime is 413353. The next prime is 413411. The reversal of 413401 is 104314.

413401 is nontrivially palindromic in base 5.

413401 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 121801 = 540^2 + 349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413411) 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 3 ways as a sum of consecutive naturals, for example, 5550 + ... + 5623.

It is an arithmetic number, because the mean of its divisors is an integer number (106153).

2⁴¹³⁴⁰¹ is an apocalyptic number.

It is an amenable number.

413401 is a deficient number, since it is larger than the sum of its proper divisors (11211).

413401 is a wasteful number, since it uses less digits than its factorization.

413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 413401 is about 642.9626738777. The cubic root of 413401 is about 74.4944367721.

Adding to 413401 its product of nonzero digits (48), we get a square (413449 = 643²).

Adding to 413401 its reverse (104314), we get a palindrome (517715).

The spelling of 413401 in words is "four hundred thirteen thousand, four hundred one".