329213920 has 48 divisors (see below), whose sum is σ = 888880608. Its totient is φ = 112872960.

The previous prime is 329213917. The next prime is 329213933. The reversal of 329213920 is 29312923.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145851 + ... + 148090.

It is an arithmetic number, because the mean of its divisors is an integer number (18518346).

Almost surely, 2^329213920 is an apocalyptic number.

It is an amenable number.

329213920 is an abundant number, since it is smaller than the sum of its proper divisors (559666688).

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

329213920 is a wasteful number, since it uses less digits than its factorization.

329213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293963 (or 293955 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 329213920 is about 18144.2530846547. The cubic root of 329213920 is about 690.4931851786.

The spelling of 329213920 in words is "three hundred twenty-nine million, two hundred thirteen thousand, nine hundred twenty".