448686920 has 64 divisors (see below), whose sum is σ = 1104503040. Its totient is φ = 162688000.

The previous prime is 448686913. The next prime is 448686929. The reversal of 448686920 is 29686844.

It is a super-3 number, since 3×448686920³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (448686929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175169 + ... + 177711.

It is an arithmetic number, because the mean of its divisors is an integer number (17257860).

Almost surely, 2^448686920 is an apocalyptic number.

448686920 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 448686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552251520).

448686920 is an abundant number, since it is smaller than the sum of its proper divisors (655816120).

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

448686920 is a wasteful number, since it uses less digits than its factorization.

448686920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 448686920 is about 21182.2312328045. The cubic root of 448686920 is about 765.5633539592.

The spelling of 448686920 in words is "four hundred forty-eight million, six hundred eighty-six thousand, nine hundred twenty".