448249956 has 96 divisors (see below), whose sum is σ = 1346150400. Its totient is φ = 112665600.

The previous prime is 448249933. The next prime is 448249969. The reversal of 448249956 is 659942844.

It is a junction number, because it is equal to n+sod(n) for n = 448249899 and 448249908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20820 + ... + 36468.

It is an arithmetic number, because the mean of its divisors is an integer number (14022400).

Almost surely, 2^448249956 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 448249956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673075200).

448249956 is an abundant number, since it is smaller than the sum of its proper divisors (897900444).

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

448249956 is a wasteful number, since it uses less digits than its factorization.

448249956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705 (or 15703 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 448249956 is about 21171.9143206277. The cubic root of 448249956 is about 765.3147527901.

The spelling of 448249956 in words is "four hundred forty-eight million, two hundred forty-nine thousand, nine hundred fifty-six".