449317440 has 336 divisors, whose sum is σ = 1817315136. Its totient is φ = 100454400.

The previous prime is 449317439. The next prime is 449317457. The reversal of 449317440 is 44713944.

449317440 is a `hidden beast` number, since 449 + 3 + 174 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 449317395 and 449317404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411295 + ... + 412385.

It is an arithmetic number, because the mean of its divisors is an integer number (5408676).

Almost surely, 2^449317440 is an apocalyptic number.

449317440 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 449317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908657568).

449317440 is an abundant number, since it is smaller than the sum of its proper divisors (1367997696).

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

449317440 is a wasteful number, since it uses less digits than its factorization.

449317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 449317440 is about 21197.1092368747. The cubic root of 449317440 is about 765.9217902866.

The spelling of 449317440 in words is "four hundred forty-nine million, three hundred seventeen thousand, four hundred forty".