329476 has 27 divisors (see below), whose sum is σ = 687477. Its totient is φ = 137760.

The previous prime is 329473. The next prime is 329489. The reversal of 329476 is 674923.

The square root of 329476 is 574.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15876 + 313600 = 126^2 + 560^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (329471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8016 + ... + 8056.

329476 is a Friedman number, since it can be written as (63*9+7)^(4-2), using all its digits and the basic arithmetic operations.

2³²⁹⁴⁷⁶ is an apocalyptic number.

329476 is the 574-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329476

329476 is an abundant number, since it is smaller than the sum of its proper divisors (358001).

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

329476 is a wasteful number, since it uses less digits than its factorization.

329476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 50 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The cubic root of 329476 is about 69.0676365419.

The spelling of 329476 in words is "three hundred twenty-nine thousand, four hundred seventy-six".