449733648 has 160 divisors (see below), whose sum is σ = 1505459200. Its totient is φ = 112347648.

The previous prime is 449733637. The next prime is 449733707. The reversal of 449733648 is 846337944.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 449733597 and 449733606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80283 + ... + 85701.

It is an arithmetic number, because the mean of its divisors is an integer number (9409120).

Almost surely, 2^449733648 is an apocalyptic number.

449733648 is a gapful number since it is divisible by the number (48) 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 449733648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752729600).

449733648 is an abundant number, since it is smaller than the sum of its proper divisors (1055725552).

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

449733648 is a wasteful number, since it uses less digits than its factorization.

449733648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5463 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 449733648 is about 21206.9245295022. The cubic root of 449733648 is about 766.1582114060.

The spelling of 449733648 in words is "four hundred forty-nine million, seven hundred thirty-three thousand, six hundred forty-eight".