1307451906 has 48 divisors (see below), whose sum is σ = 2914696824. Its totient is φ = 423263232.

The previous prime is 1307451841. The next prime is 1307451917. The reversal of 1307451906 is 6091547031.

1307451906 is a `hidden beast` number, since 130 + 7 + 4 + 519 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1288451025 + 19000881 = 35895^2 + 4359^2 .

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 23 ways as a sum of consecutive naturals, for example, 446760 + ... + 449676.

Almost surely, 2^1307451906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307451906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457348412).

1307451906 is an abundant number, since it is smaller than the sum of its proper divisors (1607244918).

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

1307451906 is a wasteful number, since it uses less digits than its factorization.

1307451906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1307451906 is about 36158.7044292242. The cubic root of 1307451906 is about 1093.4742847189.

Adding to 1307451906 its reverse (6091547031), we get a palindrome (7398998937).

It can be divided in two parts, 130745 and 1906, that added together give a cube (132651 = 51³).

The spelling of 1307451906 in words is "one billion, three hundred seven million, four hundred fifty-one thousand, nine hundred six".