1307440 has 40 divisors (see below), whose sum is σ = 3102480. Its totient is φ = 512256.

The previous prime is 1307437. The next prime is 1307441. The reversal of 1307440 is 447031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1307441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 4858.

It is an arithmetic number, because the mean of its divisors is an integer number (77562).

2^1307440 is an apocalyptic number.

1307440 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 1307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551240).

1307440 is an abundant number, since it is smaller than the sum of its proper divisors (1795040).

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

1307440 is a wasteful number, since it uses less digits than its factorization.

1307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 1307440 is about 1143.4334261338. The cubic root of 1307440 is about 109.3470965554.

The spelling of 1307440 in words is "one million, three hundred seven thousand, four hundred forty".