448452072 has 64 divisors (see below), whose sum is σ = 1252080000. Its totient is φ = 148718592.

The previous prime is 448452047. The next prime is 448452089. The reversal of 448452072 is 270254844.

448452072 is a `hidden beast` number, since 448 + 4 + 5 + 207 + 2 = 666.

It is a super-2 number, since 2×448452072² = 402218521762186368, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37768 + ... + 48200.

It is an arithmetic number, because the mean of its divisors is an integer number (19563750).

Almost surely, 2^448452072 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 448452072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626040000).

448452072 is an abundant number, since it is smaller than the sum of its proper divisors (803627928).

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

448452072 is a wasteful number, since it uses less digits than its factorization.

448452072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10637 counting only the distinct ones).

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

The square root of 448452072 is about 21176.6869930119. The cubic root of 448452072 is about 765.4297623672.

The spelling of 448452072 in words is "four hundred forty-eight million, four hundred fifty-two thousand, seventy-two".