448100424 has 80 divisors (see below), whose sum is σ = 1268213100. Its totient is φ = 147806208.

The previous prime is 448100423. The next prime is 448100459. The reversal of 448100424 is 424001844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 447322500 + 777924 = 21150^2 + 882^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (448100423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59292 + ... + 66420.

Almost surely, 2^448100424 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 448100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634106550).

448100424 is an abundant number, since it is smaller than the sum of its proper divisors (820112676).

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

448100424 is a wasteful number, since it uses less digits than its factorization.

448100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 448100424 is about 21168.3826496027. The cubic root of 448100424 is about 765.2296427068.

The spelling of 448100424 in words is "four hundred forty-eight million, one hundred thousand, four hundred twenty-four".