448664832 has 360 divisors, whose sum is σ = 1673888832. Its totient is φ = 116121600.

The previous prime is 448664813. The next prime is 448664837. The reversal of 448664832 is 238466844.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448664837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596532 + ... + 1596812.

Almost surely, 2^448664832 is an apocalyptic number.

448664832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836944416).

448664832 is an abundant number, since it is smaller than the sum of its proper divisors (1225224000).

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

448664832 is a wasteful number, since it uses less digits than its factorization.

448664832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 448664832 is about 21181.7098459969. The cubic root of 448664832 is about 765.5507913459.

The spelling of 448664832 in words is "four hundred forty-eight million, six hundred sixty-four thousand, eight hundred thirty-two".