1001448448 has 176 divisors, whose sum is σ = 2690642304. Its totient is φ = 359792640.

The previous prime is 1001448419. The next prime is 1001448449. The reversal of 1001448448 is 8448441001.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (1001448449) 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, 1024536 + ... + 1025512.

Almost surely, 2^1001448448 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 1001448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345321152).

1001448448 is an abundant number, since it is smaller than the sum of its proper divisors (1689193856).

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

1001448448 is a wasteful number, since it uses less digits than its factorization.

1001448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 1001448448 is about 31645.6702883665. The cubic root of 1001448448 is about 1000.4825830761.

Adding to 1001448448 its reverse (8448441001), we get a palindrome (9449889449).

The spelling of 1001448448 in words is "one billion, one million, four hundred forty-eight thousand, four hundred forty-eight".