1307741400 has 216 divisors, whose sum is σ = 5109209820. Its totient is φ = 298892160.

The previous prime is 1307741387. The next prime is 1307741401. The reversal of 1307741400 is 41477031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307741401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 80787 + ... + 95613.

Almost surely, 2^1307741400 is an apocalyptic number.

1307741400 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 1307741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554604910).

1307741400 is an abundant number, since it is smaller than the sum of its proper divisors (3801468420).

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

1307741400 is a wasteful number, since it uses less digits than its factorization.

1307741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14863 (or 14844 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1307741400 is about 36162.7073101559. The cubic root of 1307741400 is about 1093.5549838973.

The spelling of 1307741400 in words is "one billion, three hundred seven million, seven hundred forty-one thousand, four hundred".