333408 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 105600.

The previous prime is 333397. The next prime is 333419. The reversal of 333408 is 804333.

It is an interprime number because it is at equal distance from previous prime (333397) and next prime (333419).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×333408² = 222321788928, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2133 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³³³⁴⁰⁸ 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 333408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

333408 is an abundant number, since it is smaller than the sum of its proper divisors (585888).

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

333408 is a wasteful number, since it uses less digits than its factorization.

333408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 333408 is about 577.4149287990. The cubic root of 333408 is about 69.3413041461.

It can be divided in two parts, 333 and 408, that added together give a triangular number (741 = T₃₈).

The spelling of 333408 in words is "three hundred thirty-three thousand, four hundred eight".