448507752 has 128 divisors (see below), whose sum is σ = 1443225600. Its totient is φ = 112723200.

The previous prime is 448507729. The next prime is 448507769. The reversal of 448507752 is 257705844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53374 + ... + 61202.

It is an arithmetic number, because the mean of its divisors is an integer number (11275200).

Almost surely, 2^448507752 is an apocalyptic number.

448507752 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 448507752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721612800).

448507752 is an abundant number, since it is smaller than the sum of its proper divisors (994717848).

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

448507752 is a wasteful number, since it uses less digits than its factorization.

448507752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7887 (or 7883 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 448507752 is about 21178.0016054395. The cubic root of 448507752 is about 765.4614397511.

The spelling of 448507752 in words is "four hundred forty-eight million, five hundred seven thousand, seven hundred fifty-two".