448640352 has 72 divisors (see below), whose sum is σ = 1280784960. Its totient is φ = 148965120.

The previous prime is 448640347. The next prime is 448640363. The reversal of 448640352 is 253046844.

448640352 is a `hidden beast` number, since 4 + 4 + 8 + 640 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74577 + ... + 80367.

It is an arithmetic number, because the mean of its divisors is an integer number (17788680).

Almost surely, 2^448640352 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 448640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640392480).

448640352 is an abundant number, since it is smaller than the sum of its proper divisors (832144608).

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

448640352 is a wasteful number, since it uses less digits than its factorization.

448640352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 448640352 is about 21181.1319810817. The cubic root of 448640352 is about 765.5368677940.

The spelling of 448640352 in words is "four hundred forty-eight million, six hundred forty thousand, three hundred fifty-two".