448947840 has 256 divisors, whose sum is σ = 1617148800. Its totient is φ = 104939520.

The previous prime is 448947749. The next prime is 448947841. The reversal of 448947840 is 48749844.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448947840.

It is not an unprimeable number, because it can be changed into a prime (448947841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612114 + ... + 612846.

Almost surely, 2^448947840 is an apocalyptic number.

448947840 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 448947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808574400).

448947840 is an abundant number, since it is smaller than the sum of its proper divisors (1168200960).

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

448947840 is a wasteful number, since it uses less digits than its factorization.

448947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 448947840 is about 21188.3892733733. The cubic root of 448947840 is about 765.7117217663.

The spelling of 448947840 in words is "four hundred forty-eight million, nine hundred forty-seven thousand, eight hundred forty".