1305168448 has 56 divisors (see below), whose sum is σ = 2681167104. Its totient is φ = 629721600.

The previous prime is 1305168437. The next prime is 1305168467. The reversal of 1305168448 is 8448615031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305168448.

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 7 ways as a sum of consecutive naturals, for example, 913911 + ... + 915337.

It is an arithmetic number, because the mean of its divisors is an integer number (47877984).

Almost surely, 2^1305168448 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 1305168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340583552).

1305168448 is an abundant number, since it is smaller than the sum of its proper divisors (1375998656).

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

1305168448 is a wasteful number, since it uses less digits than its factorization.

1305168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 1305168448 is about 36127.1151353108. The cubic root of 1305168448 is about 1092.8373313663.

The spelling of 1305168448 in words is "one billion, three hundred five million, one hundred sixty-eight thousand, four hundred forty-eight".