1307255040 has 864 divisors, whose sum is σ = 5892606720. Its totient is φ = 260112384.

The previous prime is 1307255009. The next prime is 1307255087. The reversal of 1307255040 is 405527031.

It is a happy number.

1307255040 is a `hidden beast` number, since 1 + 3 + 0 + 72 + 550 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1307254995 and 1307255013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30401259 + ... + 30401301.

Almost surely, 2^1307255040 is an apocalyptic number.

1307255040 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 1307255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946303360).

1307255040 is an abundant number, since it is smaller than the sum of its proper divisors (4585351680).

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

1307255040 is a wasteful number, since it uses less digits than its factorization.

1307255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1307255040 is about 36155.9820776590. The cubic root of 1307255040 is about 1093.4193996627.

The spelling of 1307255040 in words is "one billion, three hundred seven million, two hundred fifty-five thousand, forty".