448042752 has 360 divisors, whose sum is σ = 1495815552. Its totient is φ = 132710400.

The previous prime is 448042747. The next prime is 448042789. The reversal of 448042752 is 257240844.

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 39 ways as a sum of consecutive naturals, for example, 10927852 + ... + 10927892.

Almost surely, 2^448042752 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 448042752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776).

448042752 is an abundant number, since it is smaller than the sum of its proper divisors (1047772800).

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

448042752 is a wasteful number, since it uses less digits than its factorization.

448042752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 448042752 is about 21167.0203854959. The cubic root of 448042752 is about 765.1968121068.

The spelling of 448042752 in words is "four hundred forty-eight million, forty-two thousand, seven hundred fifty-two".