329148900 has 288 divisors, whose sum is σ = 1147426560. Its totient is φ = 80640000.

The previous prime is 329148893. The next prime is 329148907. The reversal of 329148900 is 9841923.

It is an interprime number because it is at equal distance from previous prime (329148893) and next prime (329148907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (329148907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3258850 + ... + 3258950.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^329148900 is an apocalyptic number.

329148900 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 329148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573713280).

329148900 is an abundant number, since it is smaller than the sum of its proper divisors (818277660).

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

329148900 is a wasteful number, since it uses less digits than its factorization.

329148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 329148900 is about 18142.4612442744. The cubic root of 329148900 is about 690.4477245423.

It can be divided in two parts, 32914 and 8900, that added together give a palindrome (41814).

The spelling of 329148900 in words is "three hundred twenty-nine million, one hundred forty-eight thousand, nine hundred".