433216 has 28 divisors (see below), whose sum is σ = 983488. Its totient is φ = 185472.

The previous prime is 433207. The next prime is 433229. The reversal of 433216 is 612334.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×433216² = 375352205312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 433193 and 433202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 931.

2⁴³³²¹⁶ 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 433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491744).

433216 is an abundant number, since it is smaller than the sum of its proper divisors (550272).

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

433216 is an equidigital number, since it uses as much as digits as its factorization.

433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 433216 is about 658.1914615065. The cubic root of 433216 is about 75.6661254357. Note that the first 3 decimals are identical.

It can be divided in two parts, 433 and 216, that multiplied together give a triangular number (93528 = T₄₃₂).

The spelling of 433216 in words is "four hundred thirty-three thousand, two hundred sixteen".