333040 has 40 divisors (see below), whose sum is σ = 812448. Its totient is φ = 126720.

The previous prime is 333031. The next prime is 333041. The reversal of 333040 is 40333.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×333040² = 221831283200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333041) 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, 1750 + ... + 1930.

2³³³⁰⁴⁰ 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 333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

333040 is an abundant number, since it is smaller than the sum of its proper divisors (479408).

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

333040 is a wasteful number, since it uses less digits than its factorization.

333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 333040 is about 577.0961791591. The cubic root of 333040 is about 69.3157828688.

Adding to 333040 its reverse (40333), we get a palindrome (373373).

The spelling of 333040 in words is "three hundred thirty-three thousand, forty".