406333 has 8 divisors (see below), whose sum is σ = 423360. Its totient is φ = 389760.

The previous prime is 406331. The next prime is 406339. The reversal of 406333 is 333604.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406333 - 2¹ = 406331 is a prime.

It is a Duffinian number.

406333 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 406333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4141 + ... + 4237.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁴⁰⁶³³³ is an apocalyptic number.

It is an amenable number.

406333 is a deficient number, since it is larger than the sum of its proper divisors (17027).

406333 is an equidigital number, since it uses as much as digits as its factorization.

406333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 406333 is about 637.4425464307. The cubic root of 406333 is about 74.0674452062.

Adding to 406333 its reverse (333604), we get a palindrome (739937).

It can be divided in two parts, 4063 and 33, that added together give a 12-th power (4096 = 2¹²).

The spelling of 406333 in words is "four hundred six thousand, three hundred thirty-three".