449120880 has 180 divisors, whose sum is σ = 1633687848. Its totient is φ = 110522880.

The previous prime is 449120869. The next prime is 449120927. The reversal of 449120880 is 88021944.

449120880 is a `hidden beast` number, since 449 + 1 + 208 + 8 + 0 = 666.

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, 119835 + ... + 123525.

Almost surely, 2^449120880 is an apocalyptic number.

449120880 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 449120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816843924).

449120880 is an abundant number, since it is smaller than the sum of its proper divisors (1184566968).

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

449120880 is a wasteful number, since it uses less digits than its factorization.

449120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 449120880 is about 21192.4722484188. The cubic root of 449120880 is about 765.8100863757.

The spelling of 449120880 in words is "four hundred forty-nine million, one hundred twenty thousand, eight hundred eighty".