14426400 has 72 divisors (see below), whose sum is σ = 46965744. Its totient is φ = 3846400.

The previous prime is 14426381. The next prime is 14426429. The reversal of 14426400 is 462441.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (652302).

Almost surely, 2^14426400 is an apocalyptic number.

14426400 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 14426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482872).

14426400 is an abundant number, since it is smaller than the sum of its proper divisors (32539344).

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

14426400 is a wasteful number, since it uses less digits than its factorization.

14426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 14426400 is about 3798.2101047730. The cubic root of 14426400 is about 243.4366651066.

Adding to 14426400 its reverse (462441), we get a palindrome (14888841).

The spelling of 14426400 in words is "fourteen million, four hundred twenty-six thousand, four hundred".