449822160 has 180 divisors, whose sum is σ = 1570505508. Its totient is φ = 119812608.

The previous prime is 449822147. The next prime is 449822171. The reversal of 449822160 is 61228944.

449822160 is a `hidden beast` number, since 4 + 498 + 2 + 2 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 306110016 + 143712144 = 17496^2 + 11988^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524452 + ... + 525308.

Almost surely, 2^449822160 is an apocalyptic number.

449822160 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 449822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785252754).

449822160 is an abundant number, since it is smaller than the sum of its proper divisors (1120683348).

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

449822160 is an frugal number, since it uses more digits than its factorization.

449822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 449822160 is about 21209.0112923729. The cubic root of 449822160 is about 766.2084705965.

The spelling of 449822160 in words is "four hundred forty-nine million, eight hundred twenty-two thousand, one hundred sixty".