448070744 has 48 divisors (see below), whose sum is σ = 932798160. Its totient is φ = 201608000.

The previous prime is 448070731. The next prime is 448070773. The reversal of 448070744 is 447070844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448070698 and 448070707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95477 + ... + 100059.

It is an arithmetic number, because the mean of its divisors is an integer number (19433295).

Almost surely, 2^448070744 is an apocalyptic number.

448070744 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 448070744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466399080).

448070744 is an abundant number, since it is smaller than the sum of its proper divisors (484727416).

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

448070744 is a wasteful number, since it uses less digits than its factorization.

448070744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 38.

The square root of 448070744 is about 21167.6815924654. The cubic root of 448070744 is about 765.2127472997.

The spelling of 448070744 in words is "four hundred forty-eight million, seventy thousand, seven hundred forty-four".