329566420 has 48 divisors (see below), whose sum is σ = 739730880. Its totient is φ = 122898944.

The previous prime is 329566399. The next prime is 329566423. The reversal of 329566420 is 24665923.

329566420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×329566420² = 217228050383232800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 329566420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329566423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31851 + ... + 40909.

It is an arithmetic number, because the mean of its divisors is an integer number (15411060).

Almost surely, 2^329566420 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 329566420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369865440).

329566420 is an abundant number, since it is smaller than the sum of its proper divisors (410164460).

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

329566420 is a wasteful number, since it uses less digits than its factorization.

329566420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 329566420 is about 18153.9643053522. The cubic root of 329566420 is about 690.7395417398.

The spelling of 329566420 in words is "three hundred twenty-nine million, five hundred sixty-six thousand, four hundred twenty".