13438464 has 80 divisors (see below), whose sum is σ = 38612112. Its totient is φ = 4128768.

The previous prime is 13438441. The next prime is 13438507. The reversal of 13438464 is 46483431.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19632 + ... + 20304.

Almost surely, 2^13438464 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 13438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19306056).

13438464 is an abundant number, since it is smaller than the sum of its proper divisors (25173648).

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

13438464 is an equidigital number, since it uses as much as digits as its factorization.

13438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 13438464 is about 3665.8510608043. The cubic root of 13438464 is about 237.7478203606.

The spelling of 13438464 in words is "thirteen million, four hundred thirty-eight thousand, four hundred sixty-four".