448367040 has 168 divisors, whose sum is σ = 1682514288. Its totient is φ = 108687360.

The previous prime is 448367011. The next prime is 448367047. The reversal of 448367040 is 40763844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448366986 and 448367004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448367047) 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, 24604 + ... + 38756.

It is an arithmetic number, because the mean of its divisors is an integer number (10014966).

Almost surely, 2^448367040 is an apocalyptic number.

448367040 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 448367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841257144).

448367040 is an abundant number, since it is smaller than the sum of its proper divisors (1234147248).

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

448367040 is a wasteful number, since it uses less digits than its factorization.

448367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14187 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 448367040 is about 21174.6792183494. The cubic root of 448367040 is about 765.3813810263.

The spelling of 448367040 in words is "four hundred forty-eight million, three hundred sixty-seven thousand, forty".