433789668 has 120 divisors (see below), whose sum is σ = 1230148920. Its totient is φ = 132503040.

The previous prime is 433789667. The next prime is 433789679. The reversal of 433789668 is 866987334.

It can be written as a sum of positive squares in 4 ways, for example, as 44595684 + 389193984 = 6678^2 + 19728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5225472) is a multiple of the sum of its prime divisors (768).

It is not an unprimeable number, because it can be changed into a prime (433789661) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 762088 + ... + 762656.

It is an arithmetic number, because the mean of its divisors is an integer number (10251241).

Almost surely, 2^433789668 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 433789668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615074460).

433789668 is an abundant number, since it is smaller than the sum of its proper divisors (796359252).

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

433789668 is a wasteful number, since it uses less digits than its factorization.

433789668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 433789668 is about 20827.6179146824. The cubic root of 433789668 is about 756.9950992821.

The spelling of 433789668 in words is "four hundred thirty-three million, seven hundred eighty-nine thousand, six hundred sixty-eight".