13414000 has 80 divisors (see below), whose sum is σ = 34238880. Its totient is φ = 5068800.

The previous prime is 13413977. The next prime is 13414001. The reversal of 13414000 is 41431.

13414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37824 + ... + 38176.

It is an arithmetic number, because the mean of its divisors is an integer number (427986).

Almost surely, 2^13414000 is an apocalyptic number.

13414000 is a gapful number since it is divisible by the number (10) 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 13414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119440).

13414000 is an abundant number, since it is smaller than the sum of its proper divisors (20824880).

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

13414000 is a wasteful number, since it uses less digits than its factorization.

13414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13414000 is about 3662.5127986124. The cubic root of 13414000 is about 237.6034636928.

Adding to 13414000 its reverse (41431), we get a palindrome (13455431).

The spelling of 13414000 in words is "thirteen million, four hundred fourteen thousand".