1307643480 has 256 divisors, whose sum is σ = 5121446400. Its totient is φ = 292584960.

The previous prime is 1307643433. The next prime is 1307643481. The reversal of 1307643480 is 843467031.

1307643480 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 643 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307643481) 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, 150207 + ... + 158673.

It is an arithmetic number, because the mean of its divisors is an integer number (20005650).

Almost surely, 2^1307643480 is an apocalyptic number.

1307643480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307643480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560723200).

1307643480 is an abundant number, since it is smaller than the sum of its proper divisors (3813802920).

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

1307643480 is a wasteful number, since it uses less digits than its factorization.

1307643480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8501 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1307643480 is about 36161.3534038758. The cubic root of 1307643480 is about 1093.5276891083.

The spelling of 1307643480 in words is "one billion, three hundred seven million, six hundred forty-three thousand, four hundred eighty".