433280 has 32 divisors (see below), whose sum is σ = 1037340. Its totient is φ = 173056.

The previous prime is 433271. The next prime is 433291. The reversal of 433280 is 82334.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 33856 = 632^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

433280 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 302 + ... + 978.

2⁴³³²⁸⁰ is an apocalyptic number.

433280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518670).

433280 is an abundant number, since it is smaller than the sum of its proper divisors (604060).

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

433280 is an equidigital number, since it uses as much as digits as its factorization.

433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 433280 is about 658.2400777832. The cubic root of 433280 is about 75.6698513627.

The spelling of 433280 in words is "four hundred thirty-three thousand, two hundred eighty".