1306464705 has 192 divisors, whose sum is σ = 3019161600. Its totient is φ = 517515264.

The previous prime is 1306464701. The next prime is 1306464707. The reversal of 1306464705 is 5074646031.

It is a happy number.

1306464705 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 4 + 647 + 0 + 5 = 666.

It is not a de Polignac number, because 1306464705 - 2² = 1306464701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1306464705.

It is not an unprimeable number, because it can be changed into a prime (1306464701) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3410944 + ... + 3411326.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2^1306464705 is an apocalyptic number.

1306464705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1306464705 is an abundant number, since it is smaller than the sum of its proper divisors (1712696895).

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

1306464705 is a wasteful number, since it uses less digits than its factorization.

1306464705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1306464705 is about 36145.0509060369. The cubic root of 1306464705 is about 1093.1990035388.

The spelling of 1306464705 in words is "one billion, three hundred six million, four hundred sixty-four thousand, seven hundred five".