1448348000 has 96 divisors (see below), whose sum is σ = 3882217248. Its totient is φ = 526656000.

The previous prime is 1448347987. The next prime is 1448348003. The reversal of 1448348000 is 8438441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448348003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27542 + ... + 60458.

It is an arithmetic number, because the mean of its divisors is an integer number (40439763).

Almost surely, 2^1448348000 is an apocalyptic number.

1448348000 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 1448348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941108624).

1448348000 is an abundant number, since it is smaller than the sum of its proper divisors (2433869248).

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

1448348000 is a wasteful number, since it uses less digits than its factorization.

1448348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32953 (or 32935 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 1448348000 is about 38057.1675246595. The cubic root of 1448348000 is about 1131.4211893591.

The spelling of 1448348000 in words is "one billion, four hundred forty-eight million, three hundred forty-eight thousand".