14026400 has 72 divisors (see below), whose sum is σ = 34802460. Its totient is φ = 5519360.

The previous prime is 14026399. The next prime is 14026409. The reversal of 14026400 is 462041.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 6822544 = 2684^2 + 2612^2 .

It is not an unprimeable number, because it can be changed into a prime (14026409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71102 + ... + 71298.

Almost surely, 2^14026400 is an apocalyptic number.

14026400 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 14026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17401230).

14026400 is an abundant number, since it is smaller than the sum of its proper divisors (20776060).

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

14026400 is a wasteful number, since it uses less digits than its factorization.

14026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14026400 is about 3745.1835736049. The cubic root of 14026400 is about 241.1656259486.

Adding to 14026400 its reverse (462041), we get a palindrome (14488441).

The spelling of 14026400 in words is "fourteen million, twenty-six thousand, four hundred".