448690320 has 480 divisors, whose sum is σ = 1814467200. Its totient is φ = 101025792.

The previous prime is 448690313. The next prime is 448690387. The reversal of 448690320 is 23096844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15472066 + ... + 15472094.

It is an arithmetic number, because the mean of its divisors is an integer number (3780140).

Almost surely, 2^448690320 is an apocalyptic number.

448690320 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 448690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907233600).

448690320 is an abundant number, since it is smaller than the sum of its proper divisors (1365776880).

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

448690320 is a wasteful number, since it uses less digits than its factorization.

448690320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 448690320 is about 21182.3114885982. The cubic root of 448690320 is about 765.5652876824.

The spelling of 448690320 in words is "four hundred forty-eight million, six hundred ninety thousand, three hundred twenty".