431104 has 22 divisors (see below), whose sum is σ = 863834. Its totient is φ = 215040.

The previous prime is 431099. The next prime is 431107. The reversal of 431104 is 401134.

431104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 200704 = 480^2 + 448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 814 + ... + 1234.

2⁴³¹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431917).

431104 is an abundant number, since it is smaller than the sum of its proper divisors (432730).

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

431104 is an equidigital number, since it uses as much as digits as its factorization.

431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 431104 is about 656.5851049179. The cubic root of 431104 is about 75.5429634276.

Subtracting from 431104 its product of nonzero digits (48), we obtain a triangular number (431056 = T₉₂₈).

Adding to 431104 its reverse (401134), we get a palindrome (832238).

It can be divided in two parts, 431 and 104, that added together give a palindrome (535).

The spelling of 431104 in words is "four hundred thirty-one thousand, one hundred four".