329650464 has 288 divisors, whose sum is σ = 1069830720. Its totient is φ = 88197120.

The previous prime is 329650459. The next prime is 329650481. The reversal of 329650464 is 464056923.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5587267 + ... + 5587325.

It is an arithmetic number, because the mean of its divisors is an integer number (3714690).

Almost surely, 2^329650464 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 329650464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534915360).

329650464 is an abundant number, since it is smaller than the sum of its proper divisors (740180256).

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

329650464 is a wasteful number, since it uses less digits than its factorization.

329650464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 329650464 is about 18156.2789139185. The cubic root of 329650464 is about 690.7982527983.

The spelling of 329650464 in words is "three hundred twenty-nine million, six hundred fifty thousand, four hundred sixty-four".