1448287800 has 192 divisors, whose sum is σ = 4801835520. Its totient is φ = 359823360.

The previous prime is 1448287793. The next prime is 1448287823. The reversal of 1448287800 is 87828441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090737 + ... + 1092063.

It is an arithmetic number, because the mean of its divisors is an integer number (25009560).

Almost surely, 2^1448287800 is an apocalyptic number.

1448287800 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 1448287800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400917760).

1448287800 is an abundant number, since it is smaller than the sum of its proper divisors (3353547720).

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

1448287800 is a wasteful number, since it uses less digits than its factorization.

1448287800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 1448287800 is about 38056.3766010376. The cubic root of 1448287800 is about 1131.4055134536.

It can be divided in two parts, 144828 and 7800, that added together give a triangular number (152628 = T₅₅₂).

The spelling of 1448287800 in words is "one billion, four hundred forty-eight million, two hundred eighty-seven thousand, eight hundred".