11414000 has 80 divisors (see below), whose sum is σ = 29789760. Its totient is φ = 4204800.

The previous prime is 11413991. The next prime is 11414009. The reversal of 11414000 is 41411.

11414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11413991) and next prime (11414009).

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 (11414009) 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, 25781 + ... + 26219.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 2^11414000 is an apocalyptic number.

11414000 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 11414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894880).

11414000 is an abundant number, since it is smaller than the sum of its proper divisors (18375760).

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

11414000 is a wasteful number, since it uses less digits than its factorization.

11414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11414000 is about 3378.4611881743. The cubic root of 11414000 is about 225.1538043043.

Adding to 11414000 its reverse (41411), we get a palindrome (11455411).

The spelling of 11414000 in words is "eleven million, four hundred fourteen thousand".