1307629440 has 256 divisors, whose sum is σ = 4988289600. Its totient is φ = 321822720.

The previous prime is 1307629439. The next prime is 1307629447. The reversal of 1307629440 is 449267031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1307629395 and 1307629404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307629447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221730 + ... + 227550.

Almost surely, 2^1307629440 is an apocalyptic number.

1307629440 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 1307629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494144800).

1307629440 is an abundant number, since it is smaller than the sum of its proper divisors (3680660160).

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

1307629440 is a wasteful number, since it uses less digits than its factorization.

1307629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5844 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1307629440 is about 36161.1592734525. The cubic root of 1307629440 is about 1093.5237754055.

The spelling of 1307629440 in words is "one billion, three hundred seven million, six hundred twenty-nine thousand, four hundred forty".