329480448 has 144 divisors (see below), whose sum is σ = 979942656. Its totient is φ = 97413120.

The previous prime is 329480443. The next prime is 329480461. The reversal of 329480448 is 844084923.

It is a super-2 number, since 2×329480448² = 217114731228561408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (329480441) 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, 362811 + ... + 363717.

Almost surely, 2^329480448 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 329480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489971328).

329480448 is an abundant number, since it is smaller than the sum of its proper divisors (650462208).

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

329480448 is a wasteful number, since it uses less digits than its factorization.

329480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 329480448 is about 18151.5962934393. The cubic root of 329480448 is about 690.6794734999.

The spelling of 329480448 in words is "three hundred twenty-nine million, four hundred eighty thousand, four hundred forty-eight".