448312320 has 440 divisors, whose sum is σ = 1712012544. Its totient is φ = 111919104.

The previous prime is 448312307. The next prime is 448312339. The reversal of 448312320 is 23213844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9538537 + ... + 9538583.

Almost surely, 2^448312320 is an apocalyptic number.

448312320 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 448312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856006272).

448312320 is an abundant number, since it is smaller than the sum of its proper divisors (1263700224).

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

448312320 is a wasteful number, since it uses less digits than its factorization.

448312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 448312320 is about 21173.3870696211. The cubic root of 448312320 is about 765.3502433130.

The spelling of 448312320 in words is "four hundred forty-eight million, three hundred twelve thousand, three hundred twenty".