409413 has 4 divisors (see below), whose sum is σ = 545888. Its totient is φ = 272940.

The previous prime is 409397. The next prime is 409429. The reversal of 409413 is 314904.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (409397) and next prime (409429).

It is not a de Polignac number, because 409413 - 2⁴ = 409397 is a prime.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 409413.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409413.

It is not an unprimeable number, because it can be changed into a prime (409433) 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 3 ways as a sum of consecutive naturals, for example, 68233 + ... + 68238.

It is an arithmetic number, because the mean of its divisors is an integer number (136472).

2⁴⁰⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

409413 is a deficient number, since it is larger than the sum of its proper divisors (136475).

409413 is a wasteful number, since it uses less digits than its factorization.

409413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136474.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 409413 is about 639.8538895717. The cubic root of 409413 is about 74.2541178321.

It can be divided in two parts, 40 and 9413, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 409413 in words is "four hundred nine thousand, four hundred thirteen".