329808480 has 48 divisors (see below), whose sum is σ = 1038898224. Its totient is φ = 87948800.

The previous prime is 329808463. The next prime is 329808499. The reversal of 329808480 is 84808923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343071 + ... + 344030.

It is an arithmetic number, because the mean of its divisors is an integer number (21643713).

Almost surely, 2^329808480 is an apocalyptic number.

329808480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329808480 is an abundant number, since it is smaller than the sum of its proper divisors (709089744).

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

329808480 is a wasteful number, since it uses less digits than its factorization.

329808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687119 (or 687111 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 329808480 is about 18160.6299450212. The cubic root of 329808480 is about 690.9086118523.

The spelling of 329808480 in words is "three hundred twenty-nine million, eight hundred eight thousand, four hundred eighty".