449456947200 has 1800 divisors, whose sum is σ = 1887882501120. Its totient is φ = 105106636800.

The previous prime is 449456947187. The next prime is 449456947211. The reversal of 449456947200 is 2749654944.

449456947200 is a `hidden beast` number, since 4 + 4 + 9 + 4 + 569 + 4 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14498611185 + ... + 14498611215.

Almost surely, 2^449456947200 is an apocalyptic number.

449456947200 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 449456947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943941250560).

449456947200 is an abundant number, since it is smaller than the sum of its proper divisors (1438425553920).

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

449456947200 is a wasteful number, since it uses less digits than its factorization.

449456947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 449456947200 in words is "four hundred forty-nine billion, four hundred fifty-six million, nine hundred forty-seven thousand, two hundred".