329268480 has 144 divisors (see below), whose sum is σ = 1107193920. Its totient is φ = 83165184.

The previous prime is 329268473. The next prime is 329268481. The reversal of 329268480 is 84862923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329268481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70704 + ... + 75216.

Almost surely, 2^329268480 is an apocalyptic number.

329268480 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 329268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553596960).

329268480 is an abundant number, since it is smaller than the sum of its proper divisors (777925440).

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

329268480 is a wasteful number, since it uses less digits than its factorization.

329268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 329268480 is about 18145.7565287314. The cubic root of 329268480 is about 690.5313277812.

The spelling of 329268480 in words is "three hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".