1289996448 has 192 divisors, whose sum is σ = 3958077312. Its totient is φ = 364216320.

The previous prime is 1289996447. The next prime is 1289996503. The reversal of 1289996448 is 8446999821.

It is a junction number, because it is equal to n+sod(n) for n = 1289996391 and 1289996400.

It is not an unprimeable number, because it can be changed into a prime (1289996441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869115 + ... + 870597.

It is an arithmetic number, because the mean of its divisors is an integer number (20614986).

Almost surely, 2^1289996448 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 1289996448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979038656).

1289996448 is an abundant number, since it is smaller than the sum of its proper divisors (2668080864).

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

1289996448 is a wasteful number, since it uses less digits than its factorization.

1289996448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The square root of 1289996448 is about 35916.5205441730. The cubic root of 1289996448 is about 1088.5862343146.

The spelling of 1289996448 in words is "one billion, two hundred eighty-nine million, nine hundred ninety-six thousand, four hundred forty-eight".