1448400800 has 216 divisors, whose sum is σ = 4488462720. Its totient is φ = 451315200.

The previous prime is 1448400797. The next prime is 1448400803. The reversal of 1448400800 is 80048441.

It is an interprime number because it is at equal distance from previous prime (1448400797) and next prime (1448400803).

It is not an unprimeable number, because it can be changed into a prime (1448400803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429521 + ... + 432879.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^1448400800 is an apocalyptic number.

1448400800 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 1448400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244231360).

1448400800 is an abundant number, since it is smaller than the sum of its proper divisors (3040061920).

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

1448400800 is a wasteful number, since it uses less digits than its factorization.

1448400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 1448400800 is about 38057.8612115815. The cubic root of 1448400800 is about 1131.4349379686.

The spelling of 1448400800 in words is "one billion, four hundred forty-eight million, four hundred thousand, eight hundred".