448101720 has 336 divisors, whose sum is σ = 1674650880. Its totient is φ = 107775360.

The previous prime is 448101701. The next prime is 448101721. The reversal of 448101720 is 27101844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448101721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3528297 + ... + 3528423.

It is an arithmetic number, because the mean of its divisors is an integer number (4984080).

Almost surely, 2^448101720 is an apocalyptic number.

448101720 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 448101720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837325440).

448101720 is an abundant number, since it is smaller than the sum of its proper divisors (1226549160).

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

448101720 is a wasteful number, since it uses less digits than its factorization.

448101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 448101720 is about 21168.4132612721. The cubic root of 448101720 is about 765.2303804407.

The spelling of 448101720 in words is "four hundred forty-eight million, one hundred one thousand, seven hundred twenty".