330011400 has 96 divisors (see below), whose sum is σ = 1025871840. Its totient is φ = 87759360.

The previous prime is 330011351. The next prime is 330011413. The reversal of 330011400 is 4110033.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 351732 + ... + 352668.

It is an arithmetic number, because the mean of its divisors is an integer number (10686165).

Almost surely, 2^330011400 is an apocalyptic number.

330011400 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 330011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512935920).

330011400 is an abundant number, since it is smaller than the sum of its proper divisors (695860440).

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

330011400 is a wasteful number, since it uses less digits than its factorization.

330011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 330011400 is about 18166.2158965482. The cubic root of 330011400 is about 691.0502803665.

Adding to 330011400 its reverse (4110033), we get a palindrome (334121433).

The spelling of 330011400 in words is "three hundred thirty million, eleven thousand, four hundred".