330204400 has 60 divisors (see below), whose sum is σ = 796392232. Its totient is φ = 131569920.

The previous prime is 330204397. The next prime is 330204409. The reversal of 330204400 is 4402033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330204409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111742 + ... + 114658.

Almost surely, 2^330204400 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 330204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398196116).

330204400 is an abundant number, since it is smaller than the sum of its proper divisors (466187832).

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

330204400 is a wasteful number, since it uses less digits than its factorization.

330204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 330204400 is about 18171.5271785285. The cubic root of 330204400 is about 691.1849693627.

Adding to 330204400 its reverse (4402033), we get a palindrome (334606433).

The spelling of 330204400 in words is "three hundred thirty million, two hundred four thousand, four hundred".