1305480768 has 112 divisors (see below), whose sum is σ = 3573865344. Its totient is φ = 420249600.

The previous prime is 1305480721. The next prime is 1305480797. The reversal of 1305480768 is 8670845031.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1072096 + ... + 1073312.

It is an arithmetic number, because the mean of its divisors is an integer number (31909512).

Almost surely, 2^1305480768 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 1305480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786932672).

1305480768 is an abundant number, since it is smaller than the sum of its proper divisors (2268384576).

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

1305480768 is a wasteful number, since it uses less digits than its factorization.

1305480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1305480768 is about 36131.4373918337. The cubic root of 1305480768 is about 1092.9244945047.

The spelling of 1305480768 in words is "one billion, three hundred five million, four hundred eighty thousand, seven hundred sixty-eight".