433880352 has 144 divisors (see below), whose sum is σ = 1334511360. Its totient is φ = 133249536.

The previous prime is 433880323. The next prime is 433880353. The reversal of 433880352 is 253088334.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (433880353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201393 + ... + 203535.

It is an arithmetic number, because the mean of its divisors is an integer number (9267440).

Almost surely, 2^433880352 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 433880352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667255680).

433880352 is an abundant number, since it is smaller than the sum of its proper divisors (900631008).

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

433880352 is a wasteful number, since it uses less digits than its factorization.

433880352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 433880352 is about 20829.7948141598. The cubic root of 433880352 is about 757.0478457055.

The spelling of 433880352 in words is "four hundred thirty-three million, eight hundred eighty thousand, three hundred fifty-two".