449617281120 has 1728 divisors, whose sum is σ = 2023159057920. Its totient is φ = 90128941056.

The previous prime is 449617281079. The next prime is 449617281121. The reversal of 449617281120 is 21182716944.

449617281120 is a `hidden beast` number, since 4 + 4 + 9 + 617 + 2 + 8 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×449617281120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449617281121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1186325091 + ... + 1186325469.

It is an arithmetic number, because the mean of its divisors is an integer number (1170809640).

Almost surely, 2^449617281120 is an apocalyptic number.

449617281120 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 449617281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011579528960).

449617281120 is an abundant number, since it is smaller than the sum of its proper divisors (1573541776800).

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

449617281120 is a wasteful number, since it uses less digits than its factorization.

449617281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 449617281120 in words is "four hundred forty-nine billion, six hundred seventeen million, two hundred eighty-one thousand, one hundred twenty".