1448790000 has 200 divisors, whose sum is σ = 5345788800. Its totient is φ = 331104000.

The previous prime is 1448789999. The next prime is 1448790011. The reversal of 1448790000 is 978441.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206551 + ... + 213449.

It is an arithmetic number, because the mean of its divisors is an integer number (26728944).

Almost surely, 2^1448790000 is an apocalyptic number.

1448790000 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 1448790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672894400).

1448790000 is an abundant number, since it is smaller than the sum of its proper divisors (3896998800).

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

1448790000 is an equidigital number, since it uses as much as digits as its factorization.

1448790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6937 (or 6916 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1448790000 is about 38062.9741349779. The cubic root of 1448790000 is about 1131.5362715776.

The spelling of 1448790000 in words is "one billion, four hundred forty-eight million, seven hundred ninety thousand".