433112420 has 48 divisors (see below), whose sum is σ = 985264560. Its totient is φ = 158977536.

The previous prime is 433112411. The next prime is 433112423. The reversal of 433112420 is 24211334.

It can be written as a sum of positive squares in 8 ways, for example, as 41705764 + 391406656 = 6458^2 + 19784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 433112392 and 433112401.

It is not an unprimeable number, because it can be changed into a prime (433112423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40166 + ... + 49794.

It is an arithmetic number, because the mean of its divisors is an integer number (20526345).

Almost surely, 2^433112420 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 433112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492632280).

433112420 is an abundant number, since it is smaller than the sum of its proper divisors (552152140).

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

433112420 is a wasteful number, since it uses less digits than its factorization.

433112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 433112420 is about 20811.3531515853. The cubic root of 433112420 is about 756.6009447813.

Adding to 433112420 its reverse (24211334), we get a palindrome (457323754).

The spelling of 433112420 in words is "four hundred thirty-three million, one hundred twelve thousand, four hundred twenty".