448511040 has 448 divisors, whose sum is σ = 1723461120. Its totient is φ = 109486080.

The previous prime is 448511029. The next prime is 448511053. The reversal of 448511040 is 40115844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 448510995 and 448511013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7352610 + ... + 7352670.

Almost surely, 2^448511040 is an apocalyptic number.

448511040 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 448511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861730560).

448511040 is an abundant number, since it is smaller than the sum of its proper divisors (1274950080).

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

448511040 is a wasteful number, since it uses less digits than its factorization.

448511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

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

The square root of 448511040 is about 21178.0792330183. The cubic root of 448511040 is about 765.4633102733.

Adding to 448511040 its reverse (40115844), we get a palindrome (488626884).

The spelling of 448511040 in words is "four hundred forty-eight million, five hundred eleven thousand, forty".