329200 has 30 divisors (see below), whose sum is σ = 791864. Its totient is φ = 131520.

The previous prime is 329191. The next prime is 329201. The reversal of 329200 is 2923.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329201) by changing a digit.

329200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12 + ... + 811.

2³²⁹²⁰⁰ 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 329200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395932).

329200 is an abundant number, since it is smaller than the sum of its proper divisors (462664).

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

329200 is a wasteful number, since it uses less digits than its factorization.

329200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 329200 is about 573.7595315112. The cubic root of 329200 is about 69.0483453107.

It can be divided in two parts, 329 and 200, that added together give a square (529 = 23²).

The spelling of 329200 in words is "three hundred twenty-nine thousand, two hundred".