448480512 has 54 divisors (see below), whose sum is σ = 1293086522. Its totient is φ = 149492736.

The previous prime is 448480511. The next prime is 448480531. The reversal of 448480512 is 215084844.

It can be written as a sum of positive squares in only one way, i.e., 442008576 + 6471936 = 21024^2 + 2544^2 .

It is a super-2 number, since 2×448480512² = 402269539287564288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448480511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95023 + ... + 99630.

Almost surely, 2^448480512 is an apocalyptic number.

It is an amenable number.

448480512 is an abundant number, since it is smaller than the sum of its proper divisors (844606010).

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

448480512 is a wasteful number, since it uses less digits than its factorization.

448480512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194675 (or 194658 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 448480512 is about 21177.3584755040. The cubic root of 448480512 is about 765.4459427379.

The spelling of 448480512 in words is "four hundred forty-eight million, four hundred eighty thousand, five hundred twelve".