330420816 has 160 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 96854400.

The previous prime is 330420799. The next prime is 330420821. The reversal of 330420816 is 618024033.

It is a happy number.

It is a super-2 number, since 2×330420816² = 218355831292211712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 330420816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146191 + ... + 148433.

It is an arithmetic number, because the mean of its divisors is an integer number (6678144).

Almost surely, 2^330420816 is an apocalyptic number.

330420816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

330420816 is an abundant number, since it is smaller than the sum of its proper divisors (738082224).

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

330420816 is a wasteful number, since it uses less digits than its factorization.

330420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 330420816 is about 18177.4810136058. The cubic root of 330420816 is about 691.3359372876.

Adding to 330420816 its reverse (618024033), we get a palindrome (948444849).

The spelling of 330420816 in words is "three hundred thirty million, four hundred twenty thousand, eight hundred sixteen".