330400 has 72 divisors (see below), whose sum is σ = 937440. Its totient is φ = 111360.

The previous prime is 330389. The next prime is 330409. The reversal of 330400 is 4033.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (330409) 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, 5571 + ... + 5629.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³³⁰⁴⁰⁰ 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 330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

330400 is an abundant number, since it is smaller than the sum of its proper divisors (607040).

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

330400 is a wasteful number, since it uses less digits than its factorization.

330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 330400 is about 574.8043145280. The cubic root of 330400 is about 69.1321419285.

Adding to 330400 its reverse (4033), we get a palindrome (334433).

It can be divided in two parts, 3 and 30400, that added together give a palindrome (30403).

The spelling of 330400 in words is "three hundred thirty thousand, four hundred".