448683648 has 128 divisors (see below), whose sum is σ = 1381847040. Its totient is φ = 126336000.

The previous prime is 448683647. The next prime is 448683649. The reversal of 448683648 is 846386844.

It is an interprime number because it is at equal distance from previous prime (448683647) and next prime (448683649).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 448683648.

It is not an unprimeable number, because it can be changed into a prime (448683643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189673 + ... + 192023.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^448683648 is an apocalyptic number.

448683648 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 448683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

448683648 is an abundant number, since it is smaller than the sum of its proper divisors (933163392).

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

448683648 is a wasteful number, since it uses less digits than its factorization.

448683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 448683648 is about 21182.1539981183. The cubic root of 448683648 is about 765.5614930259.

It can be divided in two parts, 44868 and 3648, that added together give a triangular number (48516 = T₃₁₁).

The spelling of 448683648 in words is "four hundred forty-eight million, six hundred eighty-three thousand, six hundred forty-eight".