1307856384 has 120 divisors (see below), whose sum is σ = 3905118360. Its totient is φ = 420876288.

The previous prime is 1307856367. The next prime is 1307856439. The reversal of 1307856384 is 4836587031.

1307856384 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 8 + 5 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128739 + ... + 138525.

It is an arithmetic number, because the mean of its divisors is an integer number (32542653).

Almost surely, 2^1307856384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307856384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952559180).

1307856384 is an abundant number, since it is smaller than the sum of its proper divisors (2597261976).

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

1307856384 is an equidigital number, since it uses as much as digits as its factorization.

1307856384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1307856384 is about 36164.2970898094. The cubic root of 1307856384 is about 1093.5870334654.

The spelling of 1307856384 in words is "one billion, three hundred seven million, eight hundred fifty-six thousand, three hundred eighty-four".