448761456 has 480 divisors, whose sum is σ = 1646561280. Its totient is φ = 111974400.

The previous prime is 448761449. The next prime is 448761463. The reversal of 448761456 is 654167844.

It is an interprime number because it is at equal distance from previous prime (448761449) and next prime (448761463).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12128670 + ... + 12128706.

It is an arithmetic number, because the mean of its divisors is an integer number (3430336).

Almost surely, 2^448761456 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 448761456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823280640).

448761456 is an abundant number, since it is smaller than the sum of its proper divisors (1197799824).

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

448761456 is a wasteful number, since it uses less digits than its factorization.

448761456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 448761456 is about 21183.9905589103. The cubic root of 448761456 is about 765.6057434801.

The spelling of 448761456 in words is "four hundred forty-eight million, seven hundred sixty-one thousand, four hundred fifty-six".