433666116 has 96 divisors (see below), whose sum is σ = 1252675200. Its totient is φ = 128822400.

The previous prime is 433666109. The next prime is 433666171. The reversal of 433666116 is 611666334.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35391 + ... + 46041.

It is an arithmetic number, because the mean of its divisors is an integer number (13048700).

Almost surely, 2^433666116 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 433666116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626337600).

433666116 is an abundant number, since it is smaller than the sum of its proper divisors (819009084).

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

433666116 is a wasteful number, since it uses less digits than its factorization.

433666116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10706 (or 10698 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 433666116 is about 20824.6516417442. The cubic root of 433666116 is about 756.9232233274.

The spelling of 433666116 in words is "four hundred thirty-three million, six hundred sixty-six thousand, one hundred sixteen".