448711380 has 192 divisors, whose sum is σ = 1541030400. Its totient is φ = 107688960.

The previous prime is 448711349. The next prime is 448711423. The reversal of 448711380 is 83117844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 287041 + ... + 288599.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2^448711380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448711380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

448711380 is an abundant number, since it is smaller than the sum of its proper divisors (1092319020).

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

448711380 is a wasteful number, since it uses less digits than its factorization.

448711380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 448711380 is about 21182.8085956513. The cubic root of 448711380 is about 765.5772651733.

The spelling of 448711380 in words is "four hundred forty-eight million, seven hundred eleven thousand, three hundred eighty".