433116 has 36 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 141024.

The previous prime is 433099. The next prime is 433117. The reversal of 433116 is 611334.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1795 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2⁴³³¹¹⁶ 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 433116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

433116 is an abundant number, since it is smaller than the sum of its proper divisors (687276).

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

433116 is a wasteful number, since it uses less digits than its factorization.

433116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 433116 is about 658.1154913843. The cubic root of 433116 is about 75.6603029401.

It can be divided in two parts, 4331 and 16, that multiplied together give a palindrome (69296).

The spelling of 433116 in words is "four hundred thirty-three thousand, one hundred sixteen".