405431 has 6 divisors (see below), whose sum is σ = 439200. Its totient is φ = 374088.

The previous prime is 405413. The next prime is 405437. The reversal of 405431 is 134504.

It is not a de Polignac number, because 405431 - 2¹⁴ = 389047 is a prime.

It is a super-2 number, since 2×405431² = 328748591522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405437) 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 5 ways as a sum of consecutive naturals, for example, 1031 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (73200).

2⁴⁰⁵⁴³¹ is an apocalyptic number.

405431 is a deficient number, since it is larger than the sum of its proper divisors (33769).

405431 is a wasteful number, since it uses less digits than its factorization.

405431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 405431 is about 636.7346386054. The cubic root of 405431 is about 74.0125982933.

Adding to 405431 its reverse (134504), we get a palindrome (539935).

The spelling of 405431 in words is "four hundred five thousand, four hundred thirty-one".