14450400 has 180 divisors, whose sum is σ = 52934112. Its totient is φ = 3836160.

The previous prime is 14450399. The next prime is 14450413. The reversal of 14450400 is 405441.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64689 + ... + 64911.

Almost surely, 2^14450400 is an apocalyptic number.

14450400 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 14450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467056).

14450400 is an abundant number, since it is smaller than the sum of its proper divisors (38483712).

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

14450400 is a wasteful number, since it uses less digits than its factorization.

14450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 14450400 is about 3801.3681747497. The cubic root of 14450400 is about 243.5715854163.

Adding to 14450400 its reverse (405441), we get a palindrome (14855841).

The spelling of 14450400 in words is "fourteen million, four hundred fifty thousand, four hundred".