448852320 has 192 divisors, whose sum is σ = 1795530240. Its totient is φ = 102587904.

The previous prime is 448852319. The next prime is 448852331. The reversal of 448852320 is 23258844.

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 31 ways as a sum of consecutive naturals, for example, 22819 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (9351720).

Almost surely, 2^448852320 is an apocalyptic number.

448852320 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 448852320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897765120).

448852320 is an abundant number, since it is smaller than the sum of its proper divisors (1346677920).

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

448852320 is a wasteful number, since it uses less digits than its factorization.

448852320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14874 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 448852320 is about 21186.1350887792. The cubic root of 448852320 is about 765.6574125831.

The spelling of 448852320 in words is "four hundred forty-eight million, eight hundred fifty-two thousand, three hundred twenty".