321104448 has 252 divisors, whose sum is σ = 1108204032. Its totient is φ = 88542720.

The previous prime is 321104447. The next prime is 321104453. The reversal of 321104448 is 844401123.

321104448 is a `hidden beast` number, since 3 + 211 + 0 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321104447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874761 + ... + 875127.

Almost surely, 2^321104448 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 321104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554102016).

321104448 is an abundant number, since it is smaller than the sum of its proper divisors (787099584).

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

321104448 is a wasteful number, since it uses less digits than its factorization.

321104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 321104448 is about 17919.3874895321. The cubic root of 321104448 is about 684.7763832220.

The spelling of 321104448 in words is "three hundred twenty-one million, one hundred four thousand, four hundred forty-eight".