14198400 has 288 divisors, whose sum is σ = 55493100. Its totient is φ = 3440640.

The previous prime is 14198399. The next prime is 14198413. The reversal of 14198400 is 489141.

It can be written as a sum of positive squares in 6 ways, for example, as 7354944 + 6843456 = 2712^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489586 + ... + 489614.

Almost surely, 2^14198400 is an apocalyptic number.

14198400 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 14198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746550).

14198400 is an abundant number, since it is smaller than the sum of its proper divisors (41294700).

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

14198400 is a wasteful number, since it uses less digits than its factorization.

14198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 14198400 is about 3768.0764323458. The cubic root of 14198400 is about 242.1473955793.

It can be divided in two parts, 1 and 4198400, that added together give a square (4198401 = 2049²).

The spelling of 14198400 in words is "fourteen million, one hundred ninety-eight thousand, four hundred".