449160000000 has 640 divisors, whose sum is σ = 1582449073920. Its totient is φ = 112896000000.

The previous prime is 449159999933. The next prime is 449160000001. The reversal of 449160000000 is 61944.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449160000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279999902 + ... + 2280000098.

It is an arithmetic number, because the mean of its divisors is an integer number (2472576678).

Almost surely, 2^449160000000 is an apocalyptic number.

449160000000 is a gapful number since it is divisible by the number (40) 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 449160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791224536960).

449160000000 is an abundant number, since it is smaller than the sum of its proper divisors (1133289073920).

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

449160000000 is an frugal number, since it uses more digits than its factorization.

449160000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 449160000000 its reverse (61944), we get a palindrome (449160061944).

The spelling of 449160000000 in words is "four hundred forty-nine billion, one hundred sixty million", and thus it is an aban number.