329550000 has 240 divisors, whose sum is σ = 1152738720. Its totient is φ = 81120000.

The previous prime is 329549993. The next prime is 329550037. The reversal of 329550000 is 55923.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25349994 + ... + 25350006.

It is an arithmetic number, because the mean of its divisors is an integer number (4803078).

Almost surely, 2^329550000 is an apocalyptic number.

329550000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576369360).

329550000 is an abundant number, since it is smaller than the sum of its proper divisors (823188720).

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

329550000 is an frugal number, since it uses more digits than its factorization.

329550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 329550000 is about 18153.5120568996. The cubic root of 329550000 is about 690.7280699687.

The spelling of 329550000 in words is "three hundred twenty-nine million, five hundred fifty thousand".