448742537280 has 504 divisors, whose sum is σ = 1673508664152. Its totient is φ = 109984186368.

The previous prime is 448742537251. The next prime is 448742537281. The reversal of 448742537280 is 82735247844.

448742537280 is a `hidden beast` number, since 4 + 4 + 87 + 4 + 2 + 537 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169552885824 + 279189651456 = 411768^2 + 528384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448742537281) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 90524562 + ... + 90529518.

Almost surely, 2^448742537280 is an apocalyptic number.

448742537280 is a gapful number since it is divisible by the number (40) 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 448742537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836754332076).

448742537280 is an abundant number, since it is smaller than the sum of its proper divisors (1224766126872).

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

448742537280 is a wasteful number, since it uses less digits than its factorization.

448742537280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 448742537280 in words is "four hundred forty-eight billion, seven hundred forty-two million, five hundred thirty-seven thousand, two hundred eighty".