1306450944 has 220 divisors, whose sum is σ = 4111604200. Its totient is φ = 412065792.

The previous prime is 1306450939. The next prime is 1306450979. The reversal of 1306450944 is 4490546031.

1306450944 is a `hidden beast` number, since 1 + 3 + 0 + 645 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1306450944² = 3413628138156982272, which contains 22 as substring.

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 = 1306450899 and 1306450908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575522 + ... + 1576350.

It is an arithmetic number, because the mean of its divisors is an integer number (18689110).

Almost surely, 2^1306450944 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 1306450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055802100).

1306450944 is an abundant number, since it is smaller than the sum of its proper divisors (2805153256).

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

1306450944 is an equidigital number, since it uses as much as digits as its factorization.

1306450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1306450944 is about 36144.8605475246. The cubic root of 1306450944 is about 1093.1951653016.

Adding to 1306450944 its reverse (4490546031), we get a palindrome (5796996975).

The spelling of 1306450944 in words is "one billion, three hundred six million, four hundred fifty thousand, nine hundred forty-four".