330505920 has 280 divisors, whose sum is σ = 1208215008. Its totient is φ = 85708800.

The previous prime is 330505919. The next prime is 330505921. The reversal of 330505920 is 29505033.

It is an interprime number because it is at equal distance from previous prime (330505919) and next prime (330505921).

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

It is not an unprimeable number, because it can be changed into a prime (330505921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062565 + ... + 1062875.

Almost surely, 2^330505920 is an apocalyptic number.

330505920 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 330505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604107504).

330505920 is an abundant number, since it is smaller than the sum of its proper divisors (877709088).

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

330505920 is a wasteful number, since it uses less digits than its factorization.

330505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 330505920 is about 18179.8217813047. The cubic root of 330505920 is about 691.3952862553.

The spelling of 330505920 in words is "three hundred thirty million, five hundred five thousand, nine hundred twenty".