1448488224 has 96 divisors (see below), whose sum is σ = 4236120000. Its totient is φ = 481531392.

The previous prime is 1448488219. The next prime is 1448488229. The reversal of 1448488224 is 4228848441.

1448488224 is a `hidden beast` number, since 144 + 8 + 488 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1448488219) and next prime (1448488229).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1448488224.

It is not an unprimeable number, because it can be changed into a prime (1448488229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351327 + ... + 355425.

It is an arithmetic number, because the mean of its divisors is an integer number (44126250).

Almost surely, 2^1448488224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448488224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118060000).

1448488224 is an abundant number, since it is smaller than the sum of its proper divisors (2787631776).

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

1448488224 is a wasteful number, since it uses less digits than its factorization.

1448488224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4513 counting only the distinct ones).

The product of its digits is 524288, while the sum is 45.

The square root of 1448488224 is about 38059.0097611591. The cubic root of 1448488224 is about 1131.4577015982.

The spelling of 1448488224 in words is "one billion, four hundred forty-eight million, four hundred eighty-eight thousand, two hundred twenty-four".