448164288 has 168 divisors, whose sum is σ = 1509436656. Its totient is φ = 125337600.

The previous prime is 448164287. The next prime is 448164293. The reversal of 448164288 is 882461844.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448164281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79648 + ... + 85088.

It is an arithmetic number, because the mean of its divisors is an integer number (8984742).

Almost surely, 2^448164288 is an apocalyptic number.

448164288 is a gapful number since it is divisible by the number (48) 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 448164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754718328).

448164288 is an abundant number, since it is smaller than the sum of its proper divisors (1061272368).

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

448164288 is a wasteful number, since it uses less digits than its factorization.

448164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5470 counting only the distinct ones).

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

The square root of 448164288 is about 21169.8910719918. The cubic root of 448164288 is about 765.2659949036.

The spelling of 448164288 in words is "four hundred forty-eight million, one hundred sixty-four thousand, two hundred eighty-eight".