329495040 has 400 divisors, whose sum is σ = 1354681152. Its totient is φ = 74981376.

The previous prime is 329494993. The next prime is 329495057. The reversal of 329495040 is 40594923.

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

It is a junction number, because it is equal to n+sod(n) for n = 329494986 and 329495004.

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 39 ways as a sum of consecutive naturals, for example, 1451407 + ... + 1451633.

Almost surely, 2^329495040 is an apocalyptic number.

329495040 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 329495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677340576).

329495040 is an abundant number, since it is smaller than the sum of its proper divisors (1025186112).

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

329495040 is an equidigital number, since it uses as much as digits as its factorization.

329495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 329495040 is about 18151.9982371088. The cubic root of 329495040 is about 690.6896695992.

The spelling of 329495040 in words is "three hundred twenty-nine million, four hundred ninety-five thousand, forty".