433046016 has 120 divisors (see below), whose sum is σ = 1346124780. Its totient is φ = 133226496.

The previous prime is 433045999. The next prime is 433046027. The reversal of 433046016 is 610640334.

It can be written as a sum of positive squares in 2 ways, for example, as 420086016 + 12960000 = 20496^2 + 3600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56290 + ... + 63518.

Almost surely, 2^433046016 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 433046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673062390).

433046016 is an abundant number, since it is smaller than the sum of its proper divisors (913078764).

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

433046016 is a wasteful number, since it uses less digits than its factorization.

433046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 433046016 is about 20809.7577112277. The cubic root of 433046016 is about 756.5622759164.

The spelling of 433046016 in words is "four hundred thirty-three million, forty-six thousand, sixteen".