448735680 has 224 divisors, whose sum is σ = 1597639680. Its totient is φ = 118563840.

The previous prime is 448735663. The next prime is 448735687. The reversal of 448735680 is 86537844.

448735680 is a `hidden beast` number, since 4 + 4 + 87 + 3 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448735687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1442725 + ... + 1443035.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^448735680 is an apocalyptic number.

448735680 is a gapful number since it is divisible by the number (40) 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 448735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

448735680 is an abundant number, since it is smaller than the sum of its proper divisors (1148904000).

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

448735680 is a wasteful number, since it uses less digits than its factorization.

448735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 448735680 is about 21183.3821662170. The cubic root of 448735680 is about 765.5910848895.

The spelling of 448735680 in words is "four hundred forty-eight million, seven hundred thirty-five thousand, six hundred eighty".