1448280000 has 420 divisors, whose sum is σ = 5415610200. Its totient is φ = 383616000.

The previous prime is 1448279999. The next prime is 1448280017. The reversal of 1448280000 is 828441.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 9719926 + ... + 9720074.

It is an arithmetic number, because the mean of its divisors is an integer number (12894310).

Almost surely, 2^1448280000 is an apocalyptic number.

1448280000 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 1448280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707805100).

1448280000 is an abundant number, since it is smaller than the sum of its proper divisors (3967330200).

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

1448280000 is an frugal number, since it uses more digits than its factorization.

1448280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1448280000 is about 38056.2741213588. The cubic root of 1448280000 is about 1131.4034823244.

The spelling of 1448280000 in words is "one billion, four hundred forty-eight million, two hundred eighty thousand".