449456716800 has 2376 divisors, whose sum is σ = 2130406832736. Its totient is φ = 88332042240.

The previous prime is 449456716781. The next prime is 449456716811. The reversal of 449456716800 is 8617654944.

449456716800 is a `hidden beast` number, since 4 + 49 + 456 + 71 + 6 + 80 + 0 = 666.

It is a super-2 number, since 2×449456716800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4633574352 + ... + 4633574448.

Almost surely, 2^449456716800 is an apocalyptic number.

449456716800 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 449456716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065203416368).

449456716800 is an abundant number, since it is smaller than the sum of its proper divisors (1680950115936).

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

449456716800 is a wasteful number, since it uses less digits than its factorization.

449456716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 449456716800 in words is "four hundred forty-nine billion, four hundred fifty-six million, seven hundred sixteen thousand, eight hundred".