329242000 has 40 divisors (see below), whose sum is σ = 796111992. Its totient is φ = 131696000.

The previous prime is 329241977. The next prime is 329242037. The reversal of 329242000 is 242923.

It can be written as a sum of positive squares in 4 ways, for example, as 5817744 + 323424256 = 2412^2 + 17984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80311 + ... + 84310.

Almost surely, 2^329242000 is an apocalyptic number.

It is an amenable number.

329242000 is an abundant number, since it is smaller than the sum of its proper divisors (466869992).

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

329242000 is a wasteful number, since it uses less digits than its factorization.

329242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164644 (or 164628 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 329242000 is about 18145.0268668856. The cubic root of 329242000 is about 690.5128162819.

Adding to 329242000 its reverse (242923), we get a palindrome (329484923).

The spelling of 329242000 in words is "three hundred twenty-nine million, two hundred forty-two thousand".