13431456 has 72 divisors (see below), whose sum is σ = 38574900. Its totient is φ = 4432896.

The previous prime is 13431433. The next prime is 13431497. The reversal of 13431456 is 65413431.

It can be written as a sum of positive squares in 2 ways, for example, as 9511056 + 3920400 = 3084^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42756 + ... + 43068.

Almost surely, 2^13431456 is an apocalyptic number.

13431456 is a gapful number since it is divisible by the number (16) 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 13431456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287450).

13431456 is an abundant number, since it is smaller than the sum of its proper divisors (25143444).

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

13431456 is a wasteful number, since it uses less digits than its factorization.

13431456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 467 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13431456 is about 3664.8950871751. The cubic root of 13431456 is about 237.7064856160.

Adding to 13431456 its reverse (65413431), we get a palindrome (78844887).

The spelling of 13431456 in words is "thirteen million, four hundred thirty-one thousand, four hundred fifty-six".