449656220200 has 192 divisors, whose sum is σ = 1183469253120. Its totient is φ = 157456992000.

The previous prime is 449656220197. The next prime is 449656220201. The reversal of 449656220200 is 2022656944.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (449656220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6683127 + ... + 6750073.

It is an arithmetic number, because the mean of its divisors is an integer number (6163902360).

Almost surely, 2^449656220200 is an apocalyptic number.

449656220200 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 449656220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591734626560).

449656220200 is an abundant number, since it is smaller than the sum of its proper divisors (733813032920).

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

449656220200 is a wasteful number, since it uses less digits than its factorization.

449656220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67088 (or 67079 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 449656220200 in words is "four hundred forty-nine billion, six hundred fifty-six million, two hundred twenty thousand, two hundred".