413329 has 8 divisors (see below), whose sum is σ = 476928. Its totient is φ = 350880.

The previous prime is 413299. The next prime is 413353. The reversal of 413329 is 923314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413329 - 2⁷ = 413201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 744 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (59616).

413329 is a Friedman number, since it can be written as (4+3)*(3^(9+1)-2), using all its digits and the basic arithmetic operations.

2⁴¹³³²⁹ is an apocalyptic number.

It is an amenable number.

413329 is a deficient number, since it is larger than the sum of its proper divisors (63599).

413329 is a wasteful number, since it uses less digits than its factorization.

413329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its digits is 648, while the sum is 22.

The square root of 413329 is about 642.9066806310. The cubic root of 413329 is about 74.4901117456.

The spelling of 413329 in words is "four hundred thirteen thousand, three hundred twenty-nine".