433472 has 28 divisors (see below), whose sum is σ = 928116. Its totient is φ = 199680.

The previous prime is 433471. The next prime is 433501. The reversal of 433472 is 274334.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 341056 = 304^2 + 584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433471) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (33147).

2⁴³³⁴⁷² 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 433472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464058).

433472 is an abundant number, since it is smaller than the sum of its proper divisors (494644).

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

433472 is a wasteful number, since it uses less digits than its factorization.

433472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

The product of its digits is 2016, while the sum is 23.

The square root of 433472 is about 658.3859050739. The cubic root of 433472 is about 75.6810269428.

The spelling of 433472 in words is "four hundred thirty-three thousand, four hundred seventy-two".