434200 has 48 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 159360.

The previous prime is 434191. The next prime is 434201. The reversal of 434200 is 2434.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434201) 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, 2517 + ... + 2683.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2⁴³⁴²⁰⁰ is an apocalyptic number.

434200 is a gapful number since it is divisible by the number (40) 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 434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

434200 is an abundant number, since it is smaller than the sum of its proper divisors (659480).

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

434200 is a wasteful number, since it uses less digits than its factorization.

434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 434200 is about 658.9385403814. The cubic root of 434200 is about 75.7233710639.

Adding to 434200 its reverse (2434), we get a palindrome (436634).

The spelling of 434200 in words is "four hundred thirty-four thousand, two hundred".