1448131200 has 96 divisors (see below), whose sum is σ = 4769813760. Its totient is φ = 386165760.

The previous prime is 1448131171. The next prime is 1448131207. The reversal of 1448131200 is 21318441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1448131207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65824 + ... + 85023.

It is an arithmetic number, because the mean of its divisors is an integer number (49685560).

Almost surely, 2^1448131200 is an apocalyptic number.

1448131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448131200 is an abundant number, since it is smaller than the sum of its proper divisors (3321682560).

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

1448131200 is a wasteful number, since it uses less digits than its factorization.

1448131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150874 (or 150857 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1448131200 is about 38054.3190715587. The cubic root of 1448131200 is about 1131.3647332326.

Adding to 1448131200 its reverse (21318441), we get a palindrome (1469449641).

The spelling of 1448131200 in words is "one billion, four hundred forty-eight million, one hundred thirty-one thousand, two hundred".