413407 has 4 divisors (see below), whose sum is σ = 418720. Its totient is φ = 408096.

The previous prime is 413353. The next prime is 413411. The reversal of 413407 is 704314.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413407 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2538 + ... + 2695.

It is an arithmetic number, because the mean of its divisors is an integer number (104680).

2⁴¹³⁴⁰⁷ is an apocalyptic number.

413407 is a deficient number, since it is larger than the sum of its proper divisors (5313).

413407 is an equidigital number, since it uses as much as digits as its factorization.

413407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312.

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 413407 is about 642.9673397615. The cubic root of 413407 is about 74.4947971683.

It can be divided in two parts, 413 and 407, that added together give a triangular number (820 = T₄₀).

The spelling of 413407 in words is "four hundred thirteen thousand, four hundred seven".