448900000000 has 243 divisors, whose sum is σ = 1137024320187. Its totient is φ = 176880000000.

The previous prime is 448899999949. The next prime is 448900000007. The reversal of 448900000000 is 9844.

The square root of 448900000000 is 670000.

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

It can be written as a sum of positive squares in 4 ways, for example, as 319161723136 + 129738276864 = 564944^2 + 360192^2 .

It is a super-2 number, since 2×448900000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (448900000007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6699999967 + ... + 6700000033.

Almost surely, 2^448900000000 is an apocalyptic number.

448900000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

448900000000 is the 670000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448900000000

448900000000 is an abundant number, since it is smaller than the sum of its proper divisors (688124320187).

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

448900000000 is an frugal number, since it uses more digits than its factorization.

448900000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 448900000000 by its sum of digits (25), we get a square (11222500000000 = 3350000²).

448900000000 divided by its sum of digits (25) gives a square (17956000000 = 134000²).

Adding to 448900000000 its reverse (9844), we get a palindrome (448900009844).

The spelling of 448900000000 in words is "four hundred forty-eight billion, nine hundred million", and thus it is an aban number.