329463040 has 216 divisors, whose sum is σ = 897136128. Its totient is φ = 115568640.

The previous prime is 329463011. The next prime is 329463041. The reversal of 329463040 is 40364923.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 329462993 and 329463011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329463041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10627825 + ... + 10627855.

It is an arithmetic number, because the mean of its divisors is an integer number (4153408).

Almost surely, 2^329463040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448568064).

329463040 is an abundant number, since it is smaller than the sum of its proper divisors (567673088).

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

329463040 is a wasteful number, since it uses less digits than its factorization.

329463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 329463040 is about 18151.1167700503. The cubic root of 329463040 is about 690.6673093385.

The spelling of 329463040 in words is "three hundred twenty-nine million, four hundred sixty-three thousand, forty".