329972448 has 192 divisors, whose sum is σ = 1003871232. Its totient is φ = 94003200.

The previous prime is 329972441. The next prime is 329972453. The reversal of 329972448 is 844279923.

It is a super-2 number, since 2×329972448² = 217763632878225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 329972397 and 329972406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329972441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2185173 + ... + 2185323.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^329972448 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 329972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

329972448 is an abundant number, since it is smaller than the sum of its proper divisors (673898784).

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

329972448 is a wasteful number, since it uses less digits than its factorization.

329972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 329972448 is about 18165.1437649142. The cubic root of 329972448 is about 691.0230905486.

The spelling of 329972448 in words is "three hundred twenty-nine million, nine hundred seventy-two thousand, four hundred forty-eight".