448857621520 has 480 divisors, whose sum is σ = 1353587364864. Its totient is φ = 135422115840.

The previous prime is 448857621431. The next prime is 448857621521. The reversal of 448857621520 is 25126758844.

It is a super-2 number, since 2×448857621520² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448857621521) 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 95 ways as a sum of consecutive naturals, for example, 308917114 + ... + 308918566.

Almost surely, 2^448857621520 is an apocalyptic number.

448857621520 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 448857621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676793682432).

448857621520 is an abundant number, since it is smaller than the sum of its proper divisors (904729743344).

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

448857621520 is a wasteful number, since it uses less digits than its factorization.

448857621520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 52.

The spelling of 448857621520 in words is "four hundred forty-eight billion, eight hundred fifty-seven million, six hundred twenty-one thousand, five hundred twenty".