448930840 has 64 divisors (see below), whose sum is σ = 1065000960. Its totient is φ = 170060160.

The previous prime is 448930837. The next prime is 448930873. The reversal of 448930840 is 48039844.

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 = 448930793 and 448930802.

It is a congruent number.

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, 54429 + ... + 62131.

It is an arithmetic number, because the mean of its divisors is an integer number (16640640).

Almost surely, 2^448930840 is an apocalyptic number.

448930840 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 448930840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532500480).

448930840 is an abundant number, since it is smaller than the sum of its proper divisors (616070120).

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

448930840 is a wasteful number, since it uses less digits than its factorization.

448930840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7792 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 448930840 is about 21187.9881064720. The cubic root of 448930840 is about 765.7020567508.

The spelling of 448930840 in words is "four hundred forty-eight million, nine hundred thirty thousand, eight hundred forty".