16448000 has 80 divisors (see below), whose sum is σ = 41173704. Its totient is φ = 6553600.

The previous prime is 16447987. The next prime is 16448051. The reversal of 16448000 is 84461.

It is a happy number.

16448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 6310144 = 3184^2 + 2512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63872 + ... + 64128.

Almost surely, 2^16448000 is an apocalyptic number.

16448000 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 16448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586852).

16448000 is an abundant number, since it is smaller than the sum of its proper divisors (24725704).

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

16448000 is an frugal number, since it uses more digits than its factorization.

16448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 16448000 is about 4055.6133938037. The cubic root of 16448000 is about 254.3144471894.

The spelling of 16448000 in words is "sixteen million, four hundred forty-eight thousand".