431680 has 56 divisors (see below), whose sum is σ = 1097280. Its totient is φ = 161280.

The previous prime is 431671. The next prime is 431693. The reversal of 431680 is 86134.

It is a congruent number.

It is an unprimeable number.

431680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 6045 + ... + 6115.

2⁴³¹⁶⁸⁰ is an apocalyptic number.

431680 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 431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548640).

431680 is an abundant number, since it is smaller than the sum of its proper divisors (665600).

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

431680 is a wasteful number, since it uses less digits than its factorization.

431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 431680 is about 657.0235916617. The cubic root of 431680 is about 75.5765928860.

It can be divided in two parts, 431 and 680, that added together give a palindrome (1111).

The spelling of 431680 in words is "four hundred thirty-one thousand, six hundred eighty".