413729 has 4 divisors (see below), whose sum is σ = 438084. Its totient is φ = 389376.

The previous prime is 413719. The next prime is 413737. The reversal of 413729 is 927314.

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 388129 + 25600 = 623^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 413729 - 2⁴ = 413713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413698 and 413707.

It is not an unprimeable number, because it can be changed into a prime (413719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12152 + ... + 12185.

It is an arithmetic number, because the mean of its divisors is an integer number (109521).

2⁴¹³⁷²⁹ is an apocalyptic number.

It is an amenable number.

413729 is a deficient number, since it is larger than the sum of its proper divisors (24355).

413729 is a wasteful number, since it uses less digits than its factorization.

413729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24354.

The product of its digits is 1512, while the sum is 26.

The square root of 413729 is about 643.2176925427. The cubic root of 413729 is about 74.5141333185.

The spelling of 413729 in words is "four hundred thirteen thousand, seven hundred twenty-nine".