431360 has 36 divisors (see below), whose sum is σ = 1036308. Its totient is φ = 172032.

The previous prime is 431339. The next prime is 431363. The reversal of 431360 is 63134.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 295936 = 368^2 + 544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431363) by changing a digit.

431360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 1448.

2⁴³¹³⁶⁰ is an apocalyptic number.

431360 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 431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518154).

431360 is an abundant number, since it is smaller than the sum of its proper divisors (604948).

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

431360 is an equidigital number, since it uses as much as digits as its factorization.

431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 431360 is about 656.7800240568. The cubic root of 431360 is about 75.5579135494.

Adding to 431360 its reverse (63134), we get a palindrome (494494).

The spelling of 431360 in words is "four hundred thirty-one thousand, three hundred sixty".