433045152 has 72 divisors (see below), whose sum is σ = 1233974196. Its totient is φ = 144055296.

The previous prime is 433045121. The next prime is 433045153. The reversal of 433045152 is 251540334.

It can be written as a sum of positive squares in 2 ways, for example, as 432473616 + 571536 = 20796^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (433045153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176478 + ... + 178914.

Almost surely, 2^433045152 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 433045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616987098).

433045152 is an abundant number, since it is smaller than the sum of its proper divisors (800929044).

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

433045152 is a wasteful number, since it uses less digits than its factorization.

433045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 433045152 is about 20809.7369517253. The cubic root of 433045152 is about 756.5617727595.

Adding to 433045152 its reverse (251540334), we get a palindrome (684585486).

The spelling of 433045152 in words is "four hundred thirty-three million, forty-five thousand, one hundred fifty-two".