413024329 has 3 divisors (see below), whose sum is σ = 413044653. Its totient is φ = 413004006.

The previous prime is 413024309. The next prime is 413024341. The reversal of 413024329 is 923420314.

The square root of 413024329 is 20323.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 413024329 - 2¹³ = 413016137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413024297 and 413024306.

It is not an unprimeable number, because it can be changed into a prime (413024309) 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 2 ways as a sum of consecutive naturals, for example, 10162 + ... + 30484.

It is an arithmetic number, because the mean of its divisors is an integer number (137681551).

Almost surely, 2^413024329 is an apocalyptic number.

413024329 is the 20323-rd square number.

413024329 is the 10162-nd centered octagonal number.

It is an amenable number.

413024329 is a deficient number, since it is larger than the sum of its proper divisors (20324).

413024329 is an frugal number, since it uses more digits than its factorization.

413024329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40646 (or 20323 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 413024329 is about 744.7180465414.

Multiplying 413024329 by its product of nonzero digits (5184), we get a square (2141118121536 = 1463256²).

The spelling of 413024329 in words is "four hundred thirteen million, twenty-four thousand, three hundred twenty-nine".