448539511500 has 768 divisors, whose sum is σ = 1561577472000. Its totient is φ = 110947968000.

The previous prime is 448539511489. The next prime is 448539511501. The reversal of 448539511500 is 5115935844.

It is a happy number.

448539511500 is a `hidden beast` number, since 4 + 4 + 8 + 53 + 95 + 1 + 1 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448539511501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1285213326 + ... + 1285213674.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304000).

Almost surely, 2^448539511500 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 448539511500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736000).

448539511500 is an abundant number, since it is smaller than the sum of its proper divisors (1113037960500).

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

448539511500 is a wasteful number, since it uses less digits than its factorization.

448539511500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 448539511500 in words is "four hundred forty-eight billion, five hundred thirty-nine million, five hundred eleven thousand, five hundred".