1306463457 has 48 divisors (see below), whose sum is σ = 1981670400. Its totient is φ = 763798464.

The previous prime is 1306463449. The next prime is 1306463461. The reversal of 1306463457 is 7543646031.

It is not a de Polignac number, because 1306463457 - 2³ = 1306463449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1306463437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320258 + ... + 2320820.

It is an arithmetic number, because the mean of its divisors is an integer number (41284800).

Almost surely, 2^1306463457 is an apocalyptic number.

It is an amenable number.

1306463457 is a deficient number, since it is larger than the sum of its proper divisors (675206943).

1306463457 is a wasteful number, since it uses less digits than its factorization.

1306463457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 1306463457 is about 36145.0336422585. The cubic root of 1306463457 is about 1093.1986554460.

The spelling of 1306463457 in words is "one billion, three hundred six million, four hundred sixty-three thousand, four hundred fifty-seven".