449845197459840 has 1536 divisors, whose sum is σ = 2112317541734400. Its totient is φ = 85445389320192.

The previous prime is 449845197459839. The next prime is 449845197459841. The reversal of 449845197459840 is 48954791548944.

449845197459840 is a `hidden beast` number, since 4 + 4 + 9 + 8 + 4 + 5 + 19 + 7 + 4 + 598 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (449845197459839) and next prime (449845197459841).

It is a self number, because there is not a number n which added to its sum of digits gives 449845197459840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449845197459841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203849091 + ... + 206044029.

It is an arithmetic number, because the mean of its divisors is an integer number (1375206732900).

Almost surely, 2^{449845197459840} is an apocalyptic number.

449845197459840 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 449845197459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056158770867200).

449845197459840 is an abundant number, since it is smaller than the sum of its proper divisors (1662472344274560).

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

449845197459840 is a wasteful number, since it uses less digits than its factorization.

449845197459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195024 (or 2195009 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 449845197459840 in words is "four hundred forty-nine trillion, eight hundred forty-five billion, one hundred ninety-seven million, four hundred fifty-nine thousand, eight hundred forty".