449951360 has 64 divisors (see below), whose sum is σ = 1110412800. Its totient is φ = 174167040.

The previous prime is 449951357. The next prime is 449951387. The reversal of 449951360 is 63159944.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8501 + ... + 31179.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 2^449951360 is an apocalyptic number.

449951360 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 449951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555206400).

449951360 is an abundant number, since it is smaller than the sum of its proper divisors (660461440).

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

449951360 is a wasteful number, since it uses less digits than its factorization.

449951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22729 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 449951360 is about 21212.0569488204. The cubic root of 449951360 is about 766.2818215537.

The spelling of 449951360 in words is "four hundred forty-nine million, nine hundred fifty-one thousand, three hundred sixty".