333304040 has 128 divisors (see below), whose sum is σ = 840741120. Its totient is φ = 118272000.

The previous prime is 333304031. The next prime is 333304043. The reversal of 333304040 is 40403333.

It is a happy number.

333304040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333304040² = 222183166160643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (333304043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1579535 + ... + 1579745.

It is an arithmetic number, because the mean of its divisors is an integer number (6568290).

Almost surely, 2^333304040 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 333304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420370560).

333304040 is an abundant number, since it is smaller than the sum of its proper divisors (507437080).

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

333304040 is a wasteful number, since it uses less digits than its factorization.

333304040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 333304040 is about 18256.6163349072. The cubic root of 333304040 is about 693.3409628927.

Adding to 333304040 its reverse (40403333), we get a palindrome (373707373).

The spelling of 333304040 in words is "three hundred thirty-three million, three hundred four thousand, forty".