329427000 has 480 divisors, whose sum is σ = 1355674320. Its totient is φ = 74390400.

The previous prime is 329426989. The next prime is 329427001. The reversal of 329427000 is 724923.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329427001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968959 + ... + 3969041.

Almost surely, 2^329427000 is an apocalyptic number.

329427000 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 329427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677837160).

329427000 is an abundant number, since it is smaller than the sum of its proper divisors (1026247320).

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

329427000 is a wasteful number, since it uses less digits than its factorization.

329427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 329427000 is about 18150.1239665188. The cubic root of 329427000 is about 690.6421243613.

The spelling of 329427000 in words is "three hundred twenty-nine million, four hundred twenty-seven thousand".