449528227200 has 1152 divisors, whose sum is σ = 1823248408800. Its totient is φ = 108839116800.

The previous prime is 449528227193. The next prime is 449528227219. The reversal of 449528227200 is 2722825944.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 7369315170 + ... + 7369315230.

Almost surely, 2^449528227200 is an apocalyptic number.

449528227200 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 449528227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911624204400).

449528227200 is an abundant number, since it is smaller than the sum of its proper divisors (1373720181600).

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

449528227200 is an frugal number, since it uses more digits than its factorization.

449528227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 449528227200 in words is "four hundred forty-nine billion, five hundred twenty-eight million, two hundred twenty-seven thousand, two hundred".