1008448000 has 160 divisors (see below), whose sum is σ = 2875137408. Its totient is φ = 345600000.

The previous prime is 1008447983. The next prime is 1008448019. The reversal of 1008448000 is 8448001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446875 + ... + 449125.

Almost surely, 2^1008448000 is an apocalyptic number.

1008448000 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 1008448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437568704).

1008448000 is an abundant number, since it is smaller than the sum of its proper divisors (1866689408).

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

1008448000 is an frugal number, since it uses more digits than its factorization.

1008448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 1008448000 is about 31756.0702858524. The cubic root of 1008448000 is about 1002.8081071531.

Subtracting from 1008448000 its reverse (8448001), we obtain a palindrome (999999999).

The spelling of 1008448000 in words is "one billion, eight million, four hundred forty-eight thousand".