448494816 has 384 divisors, whose sum is σ = 1609445376. Its totient is φ = 105799680.

The previous prime is 448494811. The next prime is 448494847. The reversal of 448494816 is 618494844.

It is a happy number.

It is a super-2 number, since 2×448494816² = 402295199957747712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448494811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5403511 + ... + 5403593.

It is an arithmetic number, because the mean of its divisors is an integer number (4191264).

Almost surely, 2^448494816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448494816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804722688).

448494816 is an abundant number, since it is smaller than the sum of its proper divisors (1160950560).

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

448494816 is a wasteful number, since it uses less digits than its factorization.

448494816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 448494816 is about 21177.6961919846. The cubic root of 448494816 is about 765.4540804548.

The spelling of 448494816 in words is "four hundred forty-eight million, four hundred ninety-four thousand, eight hundred sixteen".