449556480 has 260 divisors, whose sum is σ = 1617493152. Its totient is φ = 119439360.

The previous prime is 449556467. The next prime is 449556539. The reversal of 449556480 is 84655944.

449556480 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 564 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658745 + ... + 1659015.

Almost surely, 2^449556480 is an apocalyptic number.

449556480 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 449556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808746576).

449556480 is an abundant number, since it is smaller than the sum of its proper divisors (1167936672).

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

449556480 is an equidigital number, since it uses as much as digits as its factorization.

449556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 449556480 is about 21202.7469918405. The cubic root of 449556480 is about 766.0575914451.

The spelling of 449556480 in words is "four hundred forty-nine million, five hundred fifty-six thousand, four hundred eighty".