14257200 has 90 divisors (see below), whose sum is σ = 46093404. Its totient is φ = 3767040.

The previous prime is 14257181. The next prime is 14257207. The reversal of 14257200 is 275241.

14257200 = T₄₅₆ + T₄₅₇ + ... + T₅₆₄.

It is not an unprimeable number, because it can be changed into a prime (14257207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130746 + ... + 130854.

Almost surely, 2^14257200 is an apocalyptic number.

14257200 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 14257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23046702).

14257200 is an abundant number, since it is smaller than the sum of its proper divisors (31836204).

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

14257200 is a wasteful number, since it uses less digits than its factorization.

14257200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 14257200 is about 3775.8707605002. The cubic root of 14257200 is about 242.4812044808.

The spelling of 14257200 in words is "fourteen million, two hundred fifty-seven thousand, two hundred".