431144 has 16 divisors (see below), whose sum is σ = 924000. Its totient is φ = 184752.

The previous prime is 431141. The next prime is 431147. The reversal of 431144 is 441134.

It is an interprime number because it is at equal distance from previous prime (431141) and next prime (431147).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431144.

It is not an unprimeable number, because it can be changed into a prime (431141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3794 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (57750).

2⁴³¹¹⁴⁴ is an apocalyptic number.

It is an amenable number.

431144 is an abundant number, since it is smaller than the sum of its proper divisors (492856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431144 is a wasteful number, since it uses less digits than its factorization.

431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7708 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 431144 is about 656.6155648475. The cubic root of 431144 is about 75.5452997742.

Adding to 431144 its reverse (441134), we get a palindrome (872278).

It can be divided in two parts, 431 and 144, that added together give a palindrome (575).

The spelling of 431144 in words is "four hundred thirty-one thousand, one hundred forty-four".