448775712 has 360 divisors, whose sum is σ = 1651693680. Its totient is φ = 114589440.

The previous prime is 448775711. The next prime is 448775731. The reversal of 448775712 is 217577844.

448775712 is a `hidden beast` number, since 4 + 4 + 8 + 77 + 571 + 2 = 666.

It is a super-2 number, since 2×448775712² = 402799279362213888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448775711) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7606339 + ... + 7606397.

It is an arithmetic number, because the mean of its divisors is an integer number (4588038).

Almost surely, 2^448775712 is an apocalyptic number.

448775712 is a gapful number since it is divisible by the number (42) 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 448775712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825846840).

448775712 is an abundant number, since it is smaller than the sum of its proper divisors (1202917968).

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

448775712 is a wasteful number, since it uses less digits than its factorization.

448775712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 448775712 is about 21184.3270367505. The cubic root of 448775712 is about 765.6138505043.

The spelling of 448775712 in words is "four hundred forty-eight million, seven hundred seventy-five thousand, seven hundred twelve".