329915040 has 432 divisors, whose sum is σ = 1324820448. Its totient is φ = 68769792.

The previous prime is 329915029. The next prime is 329915041. The reversal of 329915040 is 40519923.

It is a junction number, because it is equal to n+sod(n) for n = 329914992 and 329915010.

It is not an unprimeable number, because it can be changed into a prime (329915041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3974839 + ... + 3974921.

It is an arithmetic number, because the mean of its divisors is an integer number (3066714).

Almost surely, 2^329915040 is an apocalyptic number.

329915040 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 329915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662410224).

329915040 is an abundant number, since it is smaller than the sum of its proper divisors (994905408).

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

329915040 is a wasteful number, since it uses less digits than its factorization.

329915040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 329915040 is about 18163.5635270175. The cubic root of 329915040 is about 690.9830139153.

The spelling of 329915040 in words is "three hundred twenty-nine million, nine hundred fifteen thousand, forty".