448906240 has 88 divisors (see below), whose sum is σ = 1102432320. Its totient is φ = 175300608.

The previous prime is 448906207. The next prime is 448906277. The reversal of 448906240 is 42609844.

It is a self number, because there is not a number n which added to its sum of digits gives 448906240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219141 + ... + 221179.

It is an arithmetic number, because the mean of its divisors is an integer number (12527640).

Almost surely, 2^448906240 is an apocalyptic number.

448906240 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 448906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551216160).

448906240 is an abundant number, since it is smaller than the sum of its proper divisors (653526080).

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

448906240 is a wasteful number, since it uses less digits than its factorization.

448906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 448906240 is about 21187.4075809194. The cubic root of 448906240 is about 765.6880704727.

The spelling of 448906240 in words is "four hundred forty-eight million, nine hundred six thousand, two hundred forty".