448486257600 has 252 divisors, whose sum is σ = 1627943956704. Its totient is φ = 117051555840.

The previous prime is 448486257577. The next prime is 448486257607. The reversal of 448486257600 is 6752684844.

It is a happy number.

448486257600 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 8 + 6 + 25 + 7 + 600 = 666.

It is a super-2 number, since 2×448486257600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448486257607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345472 + ... + 1008128.

Almost surely, 2^448486257600 is an apocalyptic number.

448486257600 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 448486257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813971978352).

448486257600 is an abundant number, since it is smaller than the sum of its proper divisors (1179457699104).

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

448486257600 is a wasteful number, since it uses less digits than its factorization.

448486257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662732 (or 662714 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 448486257600 in words is "four hundred forty-eight billion, four hundred eighty-six million, two hundred fifty-seven thousand, six hundred".