330230400 has 192 divisors, whose sum is σ = 1115553600. Its totient is φ = 85811200.

The previous prime is 330230399. The next prime is 330230401. The reversal of 330230400 is 4032033.

330230400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (330230399) and next prime (330230401).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330230400.

It is not an unprimeable number, because it can be changed into a prime (330230401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393181 + ... + 394019.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^330230400 is an apocalyptic number.

330230400 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 330230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557776800).

330230400 is an abundant number, since it is smaller than the sum of its proper divisors (785323200).

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

330230400 is a wasteful number, since it uses less digits than its factorization.

330230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 330230400 is about 18172.2425693694. The cubic root of 330230400 is about 691.2031099826.

Adding to 330230400 its reverse (4032033), we get a palindrome (334262433).

The spelling of 330230400 in words is "three hundred thirty million, two hundred thirty thousand, four hundred".