514200 has 48 divisors (see below), whose sum is σ = 1595880. Its totient is φ = 136960.

The previous prime is 514187. The next prime is 514201. The reversal of 514200 is 2415.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 1028.

2⁵¹⁴²⁰⁰ is an apocalyptic number.

514200 is a gapful number since it is divisible by the number (50) 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 514200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797940).

514200 is an abundant number, since it is smaller than the sum of its proper divisors (1081680).

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

514200 is a wasteful number, since it uses less digits than its factorization.

514200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 514200 is about 717.0774016799. The cubic root of 514200 is about 80.1144196072.

Adding to 514200 its reverse (2415), we get a palindrome (516615).

The spelling of 514200 in words is "five hundred fourteen thousand, two hundred".