448846401600 has 315 divisors, whose sum is σ = 1650733481991. Its totient is φ = 119628057600.

The previous prime is 448846401589. The next prime is 448846401607. The reversal of 448846401600 is 6104648844.

The square root of 448846401600 is 669960.

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

448846401600 is a `hidden beast` number, since 4 + 488 + 4 + 6 + 4 + 0 + 160 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273010430016 + 175835971584 = 522504^2 + 419328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (448846401607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241184670 + ... + 241186530.

Almost surely, 2^448846401600 is an apocalyptic number.

448846401600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

448846401600 is the 669960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448846401600

448846401600 is an abundant number, since it is smaller than the sum of its proper divisors (1201887080391).

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

448846401600 is an frugal number, since it uses more digits than its factorization.

448846401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 448846401600 in words is "four hundred forty-eight billion, eight hundred forty-six million, four hundred one thousand, six hundred".