448696320 has 208 divisors, whose sum is σ = 1470448320. Its totient is φ = 116785152.

The previous prime is 448696319. The next prime is 448696337. The reversal of 448696320 is 23696844.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 4116426 + ... + 4116534.

Almost surely, 2^448696320 is an apocalyptic number.

448696320 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 448696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735224160).

448696320 is an abundant number, since it is smaller than the sum of its proper divisors (1021752000).

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

448696320 is a wasteful number, since it uses less digits than its factorization.

448696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 448696320 is about 21182.4531157276. The cubic root of 448696320 is about 765.5687001111.

The spelling of 448696320 in words is "four hundred forty-eight million, six hundred ninety-six thousand, three hundred twenty".