10448000 has 64 divisors (see below), whose sum is σ = 26016120. Its totient is φ = 4172800.

The previous prime is 10447999. The next prime is 10448027. The reversal of 10448000 is 84401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 8620096 = 1352^2 + 2936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10448000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15674 + ... + 16326.

Almost surely, 2^10448000 is an apocalyptic number.

10448000 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 10448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008060).

10448000 is an abundant number, since it is smaller than the sum of its proper divisors (15568120).

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

10448000 is an frugal number, since it uses more digits than its factorization.

10448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10448000 is about 3232.3366161339. The cubic root of 10448000 is about 218.6138744920.

The spelling of 10448000 in words is "ten million, four hundred forty-eight thousand".