506850 has 48 divisors (see below), whose sum is σ = 1309440. Its totient is φ = 129600.

The previous prime is 506843. The next prime is 506861. The reversal of 506850 is 58605.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 506850.

It is an unprimeable number.

506850 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, 4596 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (27280).

2⁵⁰⁶⁸⁵⁰ is an apocalyptic number.

506850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 506850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654720).

506850 is an abundant number, since it is smaller than the sum of its proper divisors (802590).

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

506850 is a wasteful number, since it uses less digits than its factorization.

506850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 506850 is about 711.9339857037. The cubic root of 506850 is about 79.7308664377.

The spelling of 506850 in words is "five hundred six thousand, eight hundred fifty".