330040 has 32 divisors (see below), whose sum is σ = 766080. Its totient is φ = 127872.

The previous prime is 330037. The next prime is 330041. The reversal of 330040 is 40033.

330040 = T₅₅ + T₅₆ + ... + T₁₂₈.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 329999 and 330026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330041) by changing a digit.

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, 1369 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³³⁰⁰⁴⁰ 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 330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383040).

330040 is an abundant number, since it is smaller than the sum of its proper divisors (436040).

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

330040 is a wasteful number, since it uses less digits than its factorization.

330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 330040 is about 574.4910791300. The cubic root of 330040 is about 69.1070242775.

Adding to 330040 its reverse (40033), we get a palindrome (370073).

The spelling of 330040 in words is "three hundred thirty thousand, forty".