14180400 has 240 divisors, whose sum is σ = 54892320. Its totient is φ = 3456000.

The previous prime is 14180393. The next prime is 14180407. The reversal of 14180400 is 408141.

It is an interprime number because it is at equal distance from previous prime (14180393) and next prime (14180407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14180407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140350 + ... + 140450.

It is an arithmetic number, because the mean of its divisors is an integer number (228718).

Almost surely, 2^14180400 is an apocalyptic number.

14180400 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 14180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446160).

14180400 is an abundant number, since it is smaller than the sum of its proper divisors (40711920).

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

14180400 is a wasteful number, since it uses less digits than its factorization.

14180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14180400 is about 3765.6871882832. The cubic root of 14180400 is about 242.0450249762.

Adding to 14180400 its reverse (408141), we get a palindrome (14588541).

The spelling of 14180400 in words is "fourteen million, one hundred eighty thousand, four hundred".