448640464 has 40 divisors (see below), whose sum is σ = 917843040. Its totient is φ = 211851648.

The previous prime is 448640459. The next prime is 448640513. The reversal of 448640464 is 464046844.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103362 + ... + 107614.

It is an arithmetic number, because the mean of its divisors is an integer number (22946076).

Almost surely, 2^448640464 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 448640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458921520).

448640464 is an abundant number, since it is smaller than the sum of its proper divisors (469202576).

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

448640464 is a wasteful number, since it uses less digits than its factorization.

448640464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 448640464 is about 21181.1346249440. The cubic root of 448640464 is about 765.5369314977.

The spelling of 448640464 in words is "four hundred forty-eight million, six hundred forty thousand, four hundred sixty-four".