448492732416 has 207 divisors, whose sum is σ = 1307641224981. Its totient is φ = 148126040064.

The previous prime is 448492732411. The next prime is 448492732417. The reversal of 448492732416 is 614237294844.

The square root of 448492732416 is 669696.

It is a perfect power (a square), and thus also a powerful number.

448492732416 is a `hidden beast` number, since 4 + 48 + 492 + 73 + 2 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 312597282816 + 135895449600 = 559104^2 + 368640^2 .

It is a super-2 number, since 2×448492732416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448492732411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4114612170 + ... + 4114612278.

Almost surely, 2^448492732416 is an apocalyptic number.

448492732416 is the 669696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448492732416

448492732416 is an abundant number, since it is smaller than the sum of its proper divisors (859148492565).

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

448492732416 is an frugal number, since it uses more digits than its factorization.

448492732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 114 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

It can be divided in two parts, 4484 and 92732416, that added together give a square (92736900 = 9630²).

The spelling of 448492732416 in words is "four hundred forty-eight billion, four hundred ninety-two million, seven hundred thirty-two thousand, four hundred sixteen".