448155648 has 78 divisors (see below), whose sum is σ = 1294620314. Its totient is φ = 149372928.

The previous prime is 448155611. The next prime is 448155661. The reversal of 448155648 is 846551844.

It is a happy number.

448155648 is a `hidden beast` number, since 4 + 4 + 81 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272646144 + 175509504 = 16512^2 + 13248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30786 + ... + 42942.

Almost surely, 2^448155648 is an apocalyptic number.

448155648 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 448155648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647310157).

448155648 is an abundant number, since it is smaller than the sum of its proper divisors (846464666).

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

448155648 is a wasteful number, since it uses less digits than its factorization.

448155648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12187 (or 12162 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 448155648 is about 21169.6870076059. The cubic root of 448155648 is about 765.2610771083.

The spelling of 448155648 in words is "four hundred forty-eight million, one hundred fifty-five thousand, six hundred forty-eight".