1448438800 has 120 divisors (see below), whose sum is σ = 3650016384. Its totient is φ = 551316480.

The previous prime is 1448438791. The next prime is 1448438801. The reversal of 1448438800 is 88348441.

1448438800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1448438801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2879349 + ... + 2879851.

Almost surely, 2^1448438800 is an apocalyptic number.

1448438800 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 1448438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825008192).

1448438800 is an abundant number, since it is smaller than the sum of its proper divisors (2201577584).

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

1448438800 is a wasteful number, since it uses less digits than its factorization.

1448438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 1448438800 is about 38058.3604481328. The cubic root of 1448438800 is about 1131.4448325943. Note that the first 3 decimals are identical.

The spelling of 1448438800 in words is "one billion, four hundred forty-eight million, four hundred thirty-eight thousand, eight hundred".