448646440 has 64 divisors (see below), whose sum is σ = 1105695360. Its totient is φ = 162481920.

The previous prime is 448646417. The next prime is 448646459. The reversal of 448646440 is 44646844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 448646393 and 448646402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113782 + ... + 117658.

It is an arithmetic number, because the mean of its divisors is an integer number (17276490).

Almost surely, 2^448646440 is an apocalyptic number.

448646440 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 448646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552847680).

448646440 is an abundant number, since it is smaller than the sum of its proper divisors (657048920).

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

448646440 is a wasteful number, since it uses less digits than its factorization.

448646440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 448646440 is about 21181.2756934043. The cubic root of 448646440 is about 765.5403305286.

The spelling of 448646440 in words is "four hundred forty-eight million, six hundred forty-six thousand, four hundred forty".