448906752 has 160 divisors (see below), whose sum is σ = 1518950400. Its totient is φ = 128231424.

The previous prime is 448906741. The next prime is 448906771. The reversal of 448906752 is 257609844.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 448906698 and 448906707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94449 + ... + 99087.

It is an arithmetic number, because the mean of its divisors is an integer number (9493440).

Almost surely, 2^448906752 is an apocalyptic number.

448906752 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 448906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759475200).

448906752 is an abundant number, since it is smaller than the sum of its proper divisors (1070043648).

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

448906752 is an equidigital number, since it uses as much as digits as its factorization.

448906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 448906752 is about 21187.4196635645. The cubic root of 448906752 is about 765.6883615744.

The spelling of 448906752 in words is "four hundred forty-eight million, nine hundred six thousand, seven hundred fifty-two".