448356664 has 72 divisors (see below), whose sum is σ = 1025035560. Its totient is φ = 182974176.

The previous prime is 448356659. The next prime is 448356673. The reversal of 448356664 is 466653844.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2010457 + ... + 2010679.

It is an arithmetic number, because the mean of its divisors is an integer number (14236605).

Almost surely, 2^448356664 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 448356664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512517780).

448356664 is an abundant number, since it is smaller than the sum of its proper divisors (576678896).

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

448356664 is a wasteful number, since it uses less digits than its factorization.

448356664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 255 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The square root of 448356664 is about 21174.4342073171. The cubic root of 448356664 is about 765.3754768914.

Multiplying 448356664 by its sum of digits (46), we get a square (20624406544 = 143612²).

448356664 divided by its sum of digits (46) gives a square (9746884 = 3122²).

The spelling of 448356664 in words is "four hundred forty-eight million, three hundred fifty-six thousand, six hundred sixty-four".