409405 has 8 divisors (see below), whose sum is σ = 504792. Its totient is φ = 318528.

The previous prime is 409397. The next prime is 409429. The reversal of 409405 is 504904.

409405 = T₆₆ + T₆₇ + ... + T₁₃₉.

It can be written as a sum of positive squares in 4 ways, for example, as 251001 + 158404 = 501^2 + 398^2 .

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 409405 - 2³ = 409397 is a prime.

It is a super-2 number, since 2×409405² = 335224908050, which contains 22 as substring.

It is a Duffinian number.

409405 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 1291.

It is an arithmetic number, because the mean of its divisors is an integer number (63099).

2⁴⁰⁹⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

409405 is a deficient number, since it is larger than the sum of its proper divisors (95387).

409405 is a wasteful number, since it uses less digits than its factorization.

409405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 409405 is about 639.8476381139. The cubic root of 409405 is about 74.2536341829.

The spelling of 409405 in words is "four hundred nine thousand, four hundred five".