409431 has 16 divisors (see below), whose sum is σ = 627840. Its totient is φ = 234720.

The previous prime is 409429. The next prime is 409433. The reversal of 409431 is 134904.

It is an interprime number because it is at equal distance from previous prime (409429) and next prime (409433).

It is not a de Polignac number, because 409431 - 2¹ = 409429 is a prime.

It is a super-2 number, since 2×409431² = 335267487522, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 409398 and 409407.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (39240).

2⁴⁰⁹⁴³¹ is an apocalyptic number.

409431 is a deficient number, since it is larger than the sum of its proper divisors (218409).

409431 is a wasteful number, since it uses less digits than its factorization.

409431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686.

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

The square root of 409431 is about 639.8679551282. The cubic root of 409431 is about 74.2552060198.

The spelling of 409431 in words is "four hundred nine thousand, four hundred thirty-one".