13978464 has 48 divisors (see below), whose sum is σ = 37966320. Its totient is φ = 4497920.

The previous prime is 13978421. The next prime is 13978469. The reversal of 13978464 is 46487931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13978469) 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, 274 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 2^13978464 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 13978464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983160).

13978464 is an abundant number, since it is smaller than the sum of its proper divisors (23987856).

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

13978464 is a wasteful number, since it uses less digits than its factorization.

13978464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5055 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 13978464 is about 3738.7784101228. The cubic root of 13978464 is about 240.8905800809.

The spelling of 13978464 in words is "thirteen million, nine hundred seventy-eight thousand, four hundred sixty-four".