353304 has 48 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 100800.

The previous prime is 353293. The next prime is 353317. The reversal of 353304 is 403353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

353304 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 11 ways as a sum of consecutive naturals, for example, 154 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (22815).

2³⁵³³⁰⁴ 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 353304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

353304 is an abundant number, since it is smaller than the sum of its proper divisors (741816).

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

353304 is a wasteful number, since it uses less digits than its factorization.

353304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 353304 is about 594.3938088507. The cubic root of 353304 is about 70.6940481683.

Adding to 353304 its reverse (403353), we get a palindrome (756657).

The spelling of 353304 in words is "three hundred fifty-three thousand, three hundred four".