448281288 has 288 divisors, whose sum is σ = 1587268800. Its totient is φ = 111601152.

The previous prime is 448281287. The next prime is 448281299. The reversal of 448281288 is 882182844.

It is a super-2 number, since 2×448281288² = 401912226341877888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (448281287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1618206 + ... + 1618482.

It is an arithmetic number, because the mean of its divisors is an integer number (5511350).

Almost surely, 2^448281288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448281288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793634400).

448281288 is an abundant number, since it is smaller than the sum of its proper divisors (1138987512).

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

448281288 is a wasteful number, since it uses less digits than its factorization.

448281288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 448281288 is about 21172.6542502351. The cubic root of 448281288 is about 765.3325838260.

The spelling of 448281288 in words is "four hundred forty-eight million, two hundred eighty-one thousand, two hundred eighty-eight".