330816420 has 288 divisors, whose sum is σ = 1163675520. Its totient is φ = 77932800.

The previous prime is 330816403. The next prime is 330816443. The reversal of 330816420 is 24618033.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3985699 + ... + 3985781.

It is an arithmetic number, because the mean of its divisors is an integer number (4040540).

Almost surely, 2^330816420 is an apocalyptic number.

330816420 is a gapful number since it is divisible by the number (30) 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 330816420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581837760).

330816420 is an abundant number, since it is smaller than the sum of its proper divisors (832859100).

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

330816420 is a wasteful number, since it uses less digits than its factorization.

330816420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

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

The square root of 330816420 is about 18188.3594642288. The cubic root of 330816420 is about 691.6117332543.

The spelling of 330816420 in words is "three hundred thirty million, eight hundred sixteen thousand, four hundred twenty".