1312457984 has 72 divisors (see below), whose sum is σ = 2771664000. Its totient is φ = 618541056.

The previous prime is 1312457983. The next prime is 1312457999. The reversal of 1312457984 is 4897542131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312457983) 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, 1161932 + ... + 1163060.

Almost surely, 2^1312457984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385832000).

1312457984 is an abundant number, since it is smaller than the sum of its proper divisors (1459206016).

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

1312457984 is a wasteful number, since it uses less digits than its factorization.

1312457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1389 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 1312457984 is about 36227.8619849419. The cubic root of 1312457984 is about 1094.8681016806.

The spelling of 1312457984 in words is "one billion, three hundred twelve million, four hundred fifty-seven thousand, nine hundred eighty-four".