1305424944 has 160 divisors (see below), whose sum is σ = 3990816000. Its totient is φ = 407379456.

The previous prime is 1305424943. The next prime is 1305424969. The reversal of 1305424944 is 4494245031.

1305424944 is a `hidden beast` number, since 1 + 30 + 542 + 49 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1305424899 and 1305424908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305424943) 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, 729619 + ... + 731405.

It is an arithmetic number, because the mean of its divisors is an integer number (24942600).

Almost surely, 2^1305424944 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 1305424944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995408000).

1305424944 is an abundant number, since it is smaller than the sum of its proper divisors (2685391056).

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

1305424944 is a wasteful number, since it uses less digits than its factorization.

1305424944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1305424944 is about 36130.6648707161. The cubic root of 1305424944 is about 1092.9089160072.

Adding to 1305424944 its reverse (4494245031), we get a palindrome (5799669975).

The spelling of 1305424944 in words is "one billion, three hundred five million, four hundred twenty-four thousand, nine hundred forty-four".