329020401609 has 27 divisors (see below), whose sum is σ = 477722716653. Its totient is φ = 218212347672.

The previous prime is 329020401587. The next prime is 329020401613. The reversal of 329020401609 is 906104020923.

The square root of 329020401609 is 573603.

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

329020401609 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 2 + 0 + 40 + 1 + 609 = 666.

329020401609 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 329020401609 - 2²¹ = 329018304457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (329020401659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 452572404 + ... + 452573130.

Almost surely, 2^329020401609 is an apocalyptic number.

329020401609 is the 573603-rd square number.

329020401609 is the 286802-nd centered octagonal number.

It is an amenable number.

329020401609 is a deficient number, since it is larger than the sum of its proper divisors (148702315044).

329020401609 is an frugal number, since it uses more digits than its factorization.

329020401609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 329020401609 by its sum of digits (36), we get a square (11844734457924 = 3441618²).

The spelling of 329020401609 in words is "three hundred twenty-nine billion, twenty million, four hundred one thousand, six hundred nine".