433138752 has 84 divisors (see below), whose sum is σ = 1287542256. Its totient is φ = 144374400.

The previous prime is 433138747. The next prime is 433138777. The reversal of 433138752 is 257831334.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627 + ... + 29477.

It is an arithmetic number, because the mean of its divisors is an integer number (15327884).

Almost surely, 2^433138752 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 433138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643771128).

433138752 is an abundant number, since it is smaller than the sum of its proper divisors (854403504).

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

433138752 is an equidigital number, since it uses as much as digits as its factorization.

433138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27878 (or 27856 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 433138752 is about 20811.9857774312. The cubic root of 433138752 is about 756.6162775305.

The spelling of 433138752 in words is "four hundred thirty-three million, one hundred thirty-eight thousand, seven hundred fifty-two".