431616 has 40 divisors (see below), whose sum is σ = 1153944. Its totient is φ = 143360.

The previous prime is 431611. The next prime is 431617. The reversal of 431616 is 616134.

431616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 431592 and 431601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431611) by changing a digit.

431616 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, 1396 + ... + 1676.

2⁴³¹⁶¹⁶ 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 431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576972).

431616 is an abundant number, since it is smaller than the sum of its proper divisors (722328).

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

431616 is an equidigital number, since it uses as much as digits as its factorization.

431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 431616 is about 656.9748853647. The cubic root of 431616 is about 75.5728577573.

The spelling of 431616 in words is "four hundred thirty-one thousand, six hundred sixteen".