329400 has 96 divisors (see below), whose sum is σ = 1153200. Its totient is φ = 86400.

The previous prime is 329393. The next prime is 329401. The reversal of 329400 is 4923.

329400 is nontrivially palindromic in base 14.

329400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329400.

It is not an unprimeable number, because it can be changed into a prime (329401) 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, 5370 + ... + 5430.

2³²⁹⁴⁰⁰ is an apocalyptic number.

329400 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 329400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576600).

329400 is an abundant number, since it is smaller than the sum of its proper divisors (823800).

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

329400 is a wasteful number, since it uses less digits than its factorization.

329400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 329400 is about 573.9337940913. The cubic root of 329400 is about 69.0623255389.

It can be divided in two parts, 329 and 400, that added together give a 6-th power (729 = 3⁶).

The spelling of 329400 in words is "three hundred twenty-nine thousand, four hundred".