448888320 has 120 divisors (see below), whose sum is σ = 1554706296. Its totient is φ = 119697408.

The previous prime is 448888313. The next prime is 448888333. The reversal of 448888320 is 23888844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13299 + ... + 32781.

Almost surely, 2^448888320 is an apocalyptic number.

448888320 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 448888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777353148).

448888320 is an abundant number, since it is smaller than the sum of its proper divisors (1105817976).

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

448888320 is a wasteful number, since it uses less digits than its factorization.

448888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19512 (or 19493 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 448888320 is about 21186.9846839988. The cubic root of 448888320 is about 765.6778817729.

The spelling of 448888320 in words is "four hundred forty-eight million, eight hundred eighty-eight thousand, three hundred twenty".