448191744 has 432 divisors, whose sum is σ = 1644160896. Its totient is φ = 105431040.

The previous prime is 448191719. The next prime is 448191829. The reversal of 448191744 is 447191844.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 448191696 and 448191705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8456422 + ... + 8456474.

It is an arithmetic number, because the mean of its divisors is an integer number (3805928).

Almost surely, 2^448191744 is an apocalyptic number.

448191744 is a gapful number since it is divisible by the number (44) 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 448191744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822080448).

448191744 is an abundant number, since it is smaller than the sum of its proper divisors (1195969152).

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

448191744 is a wasteful number, since it uses less digits than its factorization.

448191744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 448191744 is about 21170.5395302056. The cubic root of 448191744 is about 765.2816221447.

The spelling of 448191744 in words is "four hundred forty-eight million, one hundred ninety-one thousand, seven hundred forty-four".