448646688 has 240 divisors, whose sum is σ = 1531918080. Its totient is φ = 126157824.

The previous prime is 448646683. The next prime is 448646689. The reversal of 448646688 is 886646844.

448646688 is a `hidden beast` number, since 448 + 64 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (448646683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1433220 + ... + 1433532.

It is an arithmetic number, because the mean of its divisors is an integer number (6382992).

Almost surely, 2^448646688 is an apocalyptic number.

448646688 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 448646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765959040).

448646688 is an abundant number, since it is smaller than the sum of its proper divisors (1083271392).

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

448646688 is a wasteful number, since it uses less digits than its factorization.

448646688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 448646688 is about 21181.2815476307. The cubic root of 448646688 is about 765.5404715854.

The spelling of 448646688 in words is "four hundred forty-eight million, six hundred forty-six thousand, six hundred eighty-eight".