431120 has 40 divisors (see below), whose sum is σ = 1064664. Its totient is φ = 161792.

The previous prime is 431107. The next prime is 431141. The reversal of 431120 is 21134.

It is a happy number.

431120 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 4 ways, for example, as 16384 + 414736 = 128^2 + 644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 1518.

2⁴³¹¹²⁰ is an apocalyptic number.

431120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532332).

431120 is an abundant number, since it is smaller than the sum of its proper divisors (633544).

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

431120 is a wasteful number, since it uses less digits than its factorization.

431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 431120 is about 656.5972890593. The cubic root of 431120 is about 75.5438979836.

Adding to 431120 its reverse (21134), we get a palindrome (452254).

The spelling of 431120 in words is "four hundred thirty-one thousand, one hundred twenty".