330042020 has 72 divisors (see below), whose sum is σ = 870700992. Its totient is φ = 102864960.

The previous prime is 330042001. The next prime is 330042049. The reversal of 330042020 is 20240033.

330042020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 330041986 and 330042004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7199 + ... + 26681.

Almost surely, 2^330042020 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 330042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435350496).

330042020 is an abundant number, since it is smaller than the sum of its proper divisors (540658972).

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

330042020 is a wasteful number, since it uses less digits than its factorization.

330042020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19521 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 330042020 is about 18167.0586502053. The cubic root of 330042020 is about 691.0716526638.

Adding to 330042020 its reverse (20240033), we get a palindrome (350282053).

The spelling of 330042020 in words is "three hundred thirty million, forty-two thousand, twenty".