14400 has 63 divisors (see below), whose sum is σ = 51181. Its totient is φ = 3840.

The previous prime is 14389. The next prime is 14401. The reversal of 14400 is 441.

14400 = T_{119} + T_{120}.

14400 = 1^{3} + 2^{3} + ... + 15^{3}.

The square root of 14400 is 120.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)^{2}.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 9216 = 72^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 12 and base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (14401) by changing a digit.

14400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2878 + ... + 2882.

2^{14400} is an apocalyptic number.

14400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14400 is the 120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14400

14400 is an abundant number, since it is smaller than the sum of its proper divisors (36781).

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

14400 is a wasteful number, since it uses less digits than its factorization.

14400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The cubic root of 14400 is about 24.3288079823.

Multiplying 14400 by its product of nonzero digits (16), we get a square (230400 = 480^{2}).

14400 divided by its product of nonzero digits (16) gives a square (900 = 30^{2}).

Adding to 14400 its reverse (441), we get a palindrome (14841).

Multiplying 14400 by its reverse (441), we get a square (6350400 = 2520^{2}).

It can be divided in two parts, 14 and 400, that added together give a palindrome (414).

The spelling of 14400 in words is "fourteen thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400

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