505431 has 12 divisors (see below), whose sum is σ = 739440. Its totient is φ = 332640.

The previous prime is 505429. The next prime is 505447. The reversal of 505431 is 134505.

It is not a de Polignac number, because 505431 - 2¹ = 505429 is a prime.

It is a super-2 number, since 2×505431² = 510920991522, which contains 22 as substring.

505431 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505411) 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 11 ways as a sum of consecutive naturals, for example, 486 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (61620).

2⁵⁰⁵⁴³¹ is an apocalyptic number.

505431 is a deficient number, since it is larger than the sum of its proper divisors (234009).

505431 is a wasteful number, since it uses less digits than its factorization.

505431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505431 is about 710.9367060435. The cubic root of 505431 is about 79.6563908558.

Adding to 505431 its reverse (134505), we get a palindrome (639936).

The spelling of 505431 in words is "five hundred five thousand, four hundred thirty-one".