413829 has 24 divisors (see below), whose sum is σ = 672672. Its totient is φ = 252720.

The previous prime is 413827. The next prime is 413849. The reversal of 413829 is 928314.

It is not a de Polignac number, because 413829 - 2¹ = 413827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3094 + ... + 3224.

It is an arithmetic number, because the mean of its divisors is an integer number (28028).

2⁴¹³⁸²⁹ is an apocalyptic number.

It is an amenable number.

413829 is a deficient number, since it is larger than the sum of its proper divisors (258843).

413829 is a wasteful number, since it uses less digits than its factorization.

413829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413829 is about 643.2954220263. The cubic root of 413829 is about 74.5201362923.

The spelling of 413829 in words is "four hundred thirteen thousand, eight hundred twenty-nine".