449160480 has 144 divisors (see below), whose sum is σ = 1538671680. Its totient is φ = 119314944.

The previous prime is 449160479. The next prime is 449160493. The reversal of 449160480 is 84061944.

It is a happy number.

449160480 is a `hidden beast` number, since 4 + 49 + 1 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545349 + ... + 546171.

It is an arithmetic number, because the mean of its divisors is an integer number (10685220).

Almost surely, 2^449160480 is an apocalyptic number.

449160480 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 449160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769335840).

449160480 is an abundant number, since it is smaller than the sum of its proper divisors (1089511200).

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

449160480 is a wasteful number, since it uses less digits than its factorization.

449160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1212 counting only the distinct ones).

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

The square root of 449160480 is about 21193.4065218407. The cubic root of 449160480 is about 765.8325934479.

The spelling of 449160480 in words is "four hundred forty-nine million, one hundred sixty thousand, four hundred eighty".