534200 has 24 divisors (see below), whose sum is σ = 1242480. Its totient is φ = 213600.

The previous prime is 534199. The next prime is 534203. The reversal of 534200 is 2435.

534200 = 134² + 135² + ... + 158².

It is a super-3 number, since 3×534200³ = 457333385064000000, which contains 333 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 534200.

It is not an unprimeable number, because it can be changed into a prime (534203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1136 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (51770).

2⁵³⁴²⁰⁰ is an apocalyptic number.

534200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534200 is an abundant number, since it is smaller than the sum of its proper divisors (708280).

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

534200 is a wasteful number, since it uses less digits than its factorization.

534200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 534200 is about 730.8898685849. The cubic root of 534200 is about 81.1399298497.

Adding to 534200 its reverse (2435), we get a palindrome (536635).

The spelling of 534200 in words is "five hundred thirty-four thousand, two hundred".