330870400 has 96 divisors (see below), whose sum is σ = 934181280. Its totient is φ = 113433600.

The previous prime is 330870343. The next prime is 330870403. The reversal of 330870400 is 4078033.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (330870403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15015 + ... + 29785.

It is an arithmetic number, because the mean of its divisors is an integer number (9731055).

Almost surely, 2^330870400 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 330870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467090640).

330870400 is an abundant number, since it is smaller than the sum of its proper divisors (603310880).

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

330870400 is a wasteful number, since it uses less digits than its factorization.

330870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14785 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 330870400 is about 18189.8433198310. The cubic root of 330870400 is about 691.6493484479.

The spelling of 330870400 in words is "three hundred thirty million, eight hundred seventy thousand, four hundred".