1306678446 has 128 divisors (see below), whose sum is σ = 3184272000. Its totient is φ = 395550720.

The previous prime is 1306678441. The next prime is 1306678519. The reversal of 1306678446 is 6448766031.

It is a happy number.

1306678446 is a `hidden beast` number, since 130 + 6 + 6 + 78 + 446 = 666.

It is a super-2 number, since 2×1306678446² = 3414817122481949832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306678441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5607946 + ... + 5608178.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2^1306678446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306678446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

1306678446 is an abundant number, since it is smaller than the sum of its proper divisors (1877593554).

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

1306678446 is a wasteful number, since it uses less digits than its factorization.

1306678446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1306678446 is about 36148.0074969562. The cubic root of 1306678446 is about 1093.2586170147.

The spelling of 1306678446 in words is "one billion, three hundred six million, six hundred seventy-eight thousand, four hundred forty-six".