506430 has 48 divisors (see below), whose sum is σ = 1398384. Its totient is φ = 126720.

The previous prime is 506423. The next prime is 506449. The reversal of 506430 is 34605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

506430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1365 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (29133).

2⁵⁰⁶⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699192).

506430 is an abundant number, since it is smaller than the sum of its proper divisors (891954).

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

506430 is a wasteful number, since it uses less digits than its factorization.

506430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506430 is about 711.6389534026. The cubic root of 506430 is about 79.7088374234.

The spelling of 506430 in words is "five hundred six thousand, four hundred thirty".