448011648 has 160 divisors (see below), whose sum is σ = 1523990160. Its totient is φ = 127982592.

The previous prime is 448011637. The next prime is 448011653. The reversal of 448011648 is 846110844.

448011648 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 1 + 1 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69490 + ... + 75662.

Almost surely, 2^448011648 is an apocalyptic number.

448011648 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 448011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761995080).

448011648 is an abundant number, since it is smaller than the sum of its proper divisors (1075978512).

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

448011648 is an equidigital number, since it uses as much as digits as its factorization.

448011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 448011648 is about 21166.2856448646. The cubic root of 448011648 is about 765.1791045463.

The spelling of 448011648 in words is "four hundred forty-eight million, eleven thousand, six hundred forty-eight".