1384328448 has 288 divisors, whose sum is σ = 4395417600. Its totient is φ = 428488704.

The previous prime is 1384328447. The next prime is 1384328453. The reversal of 1384328448 is 8448234831.

It is a happy number.

1384328448 is a `hidden beast` number, since 138 + 432 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384328441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10900161 + ... + 10900287.

Almost surely, 2^1384328448 is an apocalyptic number.

1384328448 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 1384328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197708800).

1384328448 is an abundant number, since it is smaller than the sum of its proper divisors (3011089152).

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

1384328448 is a wasteful number, since it uses less digits than its factorization.

1384328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

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

The square root of 1384328448 is about 37206.5645820734. The cubic root of 1384328448 is about 1114.4990806968.

The spelling of 1384328448 in words is "one billion, three hundred eighty-four million, three hundred twenty-eight thousand, four hundred forty-eight".