448115076 has 162 divisors, whose sum is σ = 1268334522. Its totient is φ = 133297920.

The previous prime is 448115051. The next prime is 448115093. The reversal of 448115076 is 670511844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8122500 + 439992576 = 2850^2 + 20976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 448115076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10929616 + ... + 10929656.

Almost surely, 2^448115076 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 448115076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634167261).

448115076 is an abundant number, since it is smaller than the sum of its proper divisors (820219446).

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

448115076 is a wasteful number, since it uses less digits than its factorization.

448115076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 448115076 is about 21168.7287289530. The cubic root of 448115076 is about 765.2379831159.

The spelling of 448115076 in words is "four hundred forty-eight million, one hundred fifteen thousand, seventy-six".