448211520 has 168 divisors, whose sum is σ = 1622999040. Its totient is φ = 113218560.

The previous prime is 448211503. The next prime is 448211521. The reversal of 448211520 is 25112844.

448211520 is a `hidden beast` number, since 448 + 211 + 5 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (448211521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50625 + ... + 58815.

Almost surely, 2^448211520 is an apocalyptic number.

448211520 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 448211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811499520).

448211520 is an abundant number, since it is smaller than the sum of its proper divisors (1174787520).

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

448211520 is a wasteful number, since it uses less digits than its factorization.

448211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 448211520 is about 21171.0065892012. The cubic root of 448211520 is about 765.2928777341.

The spelling of 448211520 in words is "four hundred forty-eight million, two hundred eleven thousand, five hundred twenty".