448255492608 has 720 divisors, whose sum is σ = 1566224130240. Its totient is φ = 111383838720.

The previous prime is 448255492547. The next prime is 448255492609. The reversal of 448255492608 is 806294552844.

It is a super-4 number, since 4×448255492608⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (448255492609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4112435658 + ... + 4112435766.

It is an arithmetic number, because the mean of its divisors is an integer number (2175311292).

Almost surely, 2^448255492608 is an apocalyptic number.

448255492608 is a gapful number since it is divisible by the number (48) 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 448255492608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783112065120).

448255492608 is an abundant number, since it is smaller than the sum of its proper divisors (1117968637632).

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

448255492608 is a wasteful number, since it uses less digits than its factorization.

448255492608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 448255492608 in words is "four hundred forty-eight billion, two hundred fifty-five million, four hundred ninety-two thousand, six hundred eight".