1448115408 has 100 divisors (see below), whose sum is σ = 4293649668. Its totient is φ = 470914560.

The previous prime is 1448115407. The next prime is 1448115413. The reversal of 1448115408 is 8045118441.

It can be written as a sum of positive squares in 2 ways, for example, as 346406544 + 1101708864 = 18612^2 + 33192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448115407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39510 + ... + 66762.

Almost surely, 2^1448115408 is an apocalyptic number.

1448115408 is a gapful number since it is divisible by the number (18) 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 1448115408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146824834).

1448115408 is an abundant number, since it is smaller than the sum of its proper divisors (2845534260).

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

1448115408 is a wasteful number, since it uses less digits than its factorization.

1448115408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27314 (or 27299 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1448115408 is about 38054.1115781199. Note that the first 3 decimals coincide. The cubic root of 1448115408 is about 1131.3606206732.

The spelling of 1448115408 in words is "one billion, four hundred forty-eight million, one hundred fifteen thousand, four hundred eight".