448148736 has 216 divisors, whose sum is σ = 1518642944. Its totient is φ = 124416000.

The previous prime is 448148677. The next prime is 448148749. The reversal of 448148736 is 637841844.

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

It is a junction number, because it is equal to n+sod(n) for n = 448148691 and 448148700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596361 + ... + 597111.

Almost surely, 2^448148736 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 448148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759321472).

448148736 is an abundant number, since it is smaller than the sum of its proper divisors (1070494208).

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

448148736 is a wasteful number, since it uses less digits than its factorization.

448148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 448148736 is about 21169.5237546809. The cubic root of 448148736 is about 765.2571428266.

The spelling of 448148736 in words is "four hundred forty-eight million, one hundred forty-eight thousand, seven hundred thirty-six".