329430240 has 288 divisors, whose sum is σ = 1202554080. Its totient is φ = 85100544.

The previous prime is 329430229. The next prime is 329430251. The reversal of 329430240 is 42034923.

It is a happy number.

329430240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (329430229) and next prime (329430251).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1438446 + ... + 1438674.

It is an arithmetic number, because the mean of its divisors is an integer number (4175535).

Almost surely, 2^329430240 is an apocalyptic number.

329430240 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 329430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601277040).

329430240 is an abundant number, since it is smaller than the sum of its proper divisors (873123840).

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

329430240 is a wasteful number, since it uses less digits than its factorization.

329430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 329430240 is about 18150.2132218881. The cubic root of 329430240 is about 690.6443885687.

The spelling of 329430240 in words is "three hundred twenty-nine million, four hundred thirty thousand, two hundred forty".