431849 has 12 divisors (see below), whose sum is σ = 491568. Its totient is φ = 378840.

The previous prime is 431833. The next prime is 431857. The reversal of 431849 is 948134.

431849 = T₁₄₅ + T₁₄₆ + ... + T₁₇₇.

It is not a de Polignac number, because 431849 - 2⁴ = 431833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5162 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (40964).

2⁴³¹⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

431849 is a deficient number, since it is larger than the sum of its proper divisors (59719).

431849 is a wasteful number, since it uses less digits than its factorization.

431849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 431849 is about 657.1521893747. The cubic root of 431849 is about 75.5864541859.

It can be divided in two parts, 43 and 1849, that multiplied together give a cube (79507 = 43³).

The spelling of 431849 in words is "four hundred thirty-one thousand, eight hundred forty-nine".