448375670424 has 768 divisors, whose sum is σ = 1512264499200. Its totient is φ = 122947891200.

The previous prime is 448375670423. The next prime is 448375670471. The reversal of 448375670424 is 424076573844.

448375670424 is a `hidden beast` number, since 4 + 4 + 8 + 37 + 567 + 0 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448375670423) 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 191 ways as a sum of consecutive naturals, for example, 1221731889 + ... + 1221732255.

It is an arithmetic number, because the mean of its divisors is an integer number (1969094400).

Almost surely, 2^448375670424 is an apocalyptic number.

448375670424 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 448375670424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756132249600).

448375670424 is an abundant number, since it is smaller than the sum of its proper divisors (1063888828776).

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

448375670424 is a wasteful number, since it uses less digits than its factorization.

448375670424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 448375670424 in words is "four hundred forty-eight billion, three hundred seventy-five million, six hundred seventy thousand, four hundred twenty-four".