14057200 has 60 divisors (see below), whose sum is σ = 34180848. Its totient is φ = 5555200.

The previous prime is 14057191. The next prime is 14057221. The reversal of 14057200 is 275041.

It is a super-3 number, since 3×14057200³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 45045 + ... + 45355.

Almost surely, 2^14057200 is an apocalyptic number.

14057200 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 14057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17090424).

14057200 is an abundant number, since it is smaller than the sum of its proper divisors (20123648).

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

14057200 is a wasteful number, since it uses less digits than its factorization.

14057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 14057200 is about 3749.2932667371. The cubic root of 14057200 is about 241.3420188226.

The spelling of 14057200 in words is "fourteen million, fifty-seven thousand, two hundred".