448748867520 has 504 divisors, whose sum is σ = 1650197746080. Its totient is φ = 111792844800.

The previous prime is 448748867513. The next prime is 448748867533. The reversal of 448748867520 is 25768847844.

448748867520 is a `hidden beast` number, since 4 + 4 + 8 + 7 + 48 + 8 + 67 + 520 = 666.

It is a super-2 number, since 2×448748867520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80259925 + ... + 80265515.

Almost surely, 2^448748867520 is an apocalyptic number.

448748867520 is a gapful number since it is divisible by the number (40) 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 448748867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825098873040).

448748867520 is an abundant number, since it is smaller than the sum of its proper divisors (1201448878560).

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

448748867520 is a wasteful number, since it uses less digits than its factorization.

448748867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 63.

The spelling of 448748867520 in words is "four hundred forty-eight billion, seven hundred forty-eight million, eight hundred sixty-seven thousand, five hundred twenty".