1307400964 has 27 divisors (see below), whose sum is σ = 2323810741. Its totient is φ = 643612400.

The previous prime is 1307400961. The next prime is 1307401013. The reversal of 1307400964 is 4690047031.

It is a happy number.

The square root of 1307400964 is 36158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1256135364 + 51265600 = 35442^2 + 7160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1307400961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7303827 + ... + 7304005.

Almost surely, 2^1307400964 is an apocalyptic number.

1307400964 is the 36158-th square number.

It is an amenable number.

1307400964 is a deficient number, since it is larger than the sum of its proper divisors (1016409777).

1307400964 is an equidigital number, since it uses as much as digits as its factorization.

1307400964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The cubic root of 1307400964 is about 1093.4600829242.

Adding to 1307400964 its reverse (4690047031), we get a palindrome (5997447995).

The spelling of 1307400964 in words is "one billion, three hundred seven million, four hundred thousand, nine hundred sixty-four".