330386400 has 108 divisors (see below), whose sum is σ = 1165050432. Its totient is φ = 88101120.

The previous prime is 330386389. The next prime is 330386401. The reversal of 330386400 is 4683033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330386401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15744 + ... + 30143.

It is an arithmetic number, because the mean of its divisors is an integer number (10787504).

Almost surely, 2^330386400 is an apocalyptic number.

330386400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330386400 is an abundant number, since it is smaller than the sum of its proper divisors (834664032).

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

330386400 is a wasteful number, since it uses less digits than its factorization.

330386400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45913 (or 45897 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330386400 is about 18176.5343231321. The cubic root of 330386400 is about 691.3119337113.

The spelling of 330386400 in words is "three hundred thirty million, three hundred eighty-six thousand, four hundred".