329420 has 48 divisors (see below), whose sum is σ = 856128. Its totient is φ = 103680.

The previous prime is 329419. The next prime is 329431. The reversal of 329420 is 24923.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 3 + 2⁵ + 4⁹ + 9⁵ + 2¹³ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 329392 and 329401.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2³²⁹⁴²⁰ 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 329420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428064).

329420 is an abundant number, since it is smaller than the sum of its proper divisors (526708).

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

329420 is a wasteful number, since it uses less digits than its factorization.

329420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 329420 is about 573.9512174393. The cubic root of 329420 is about 69.0637232504.

329420 divided by its sum of digits (20) gives a triangular number (16471 = T₁₈₁).

The spelling of 329420 in words is "three hundred twenty-nine thousand, four hundred twenty".