333264 has 40 divisors (see below), whose sum is σ = 883872. Its totient is φ = 108160.

The previous prime is 333253. The next prime is 333269. The reversal of 333264 is 462333.

It is a super-2 number, since 2×333264² = 222129787392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 333264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2479 + ... + 2609.

2³³³²⁶⁴ 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 333264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936).

333264 is an abundant number, since it is smaller than the sum of its proper divisors (550608).

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

333264 is a wasteful number, since it uses less digits than its factorization.

333264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 333264 is about 577.2902216390. The cubic root of 333264 is about 69.3313197969.

Adding to 333264 its reverse (462333), we get a palindrome (795597).

The spelling of 333264 in words is "three hundred thirty-three thousand, two hundred sixty-four".