1280448000 has 800 divisors, whose sum is σ = 5406841440. Its totient is φ = 298598400.

The previous prime is 1280447989. The next prime is 1280448053. The reversal of 1280448000 is 8440821.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67391991 + ... + 67392009.

Almost surely, 2^1280448000 is an apocalyptic number.

1280448000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1280448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703420720).

1280448000 is an abundant number, since it is smaller than the sum of its proper divisors (4126393440).

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

1280448000 is an equidigital number, since it uses as much as digits as its factorization.

1280448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1280448000 is about 35783.3480825928. The cubic root of 1280448000 is about 1085.8937046844.

Adding to 1280448000 its reverse (8440821), we get a palindrome (1288888821).

The spelling of 1280448000 in words is "one billion, two hundred eighty million, four hundred forty-eight thousand".