506730 has 64 divisors (see below), whose sum is σ = 1474560. Its totient is φ = 108864.

The previous prime is 506729. The next prime is 506731. The reversal of 506730 is 37605.

It is an interprime number because it is at equal distance from previous prime (506729) and next prime (506731).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 506697 and 506706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506731) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3927 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2⁵⁰⁶⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737280).

506730 is an abundant number, since it is smaller than the sum of its proper divisors (967830).

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

506730 is a wasteful number, since it uses less digits than its factorization.

506730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 506730 is about 711.8497032380. The cubic root of 506730 is about 79.7245736758.

The spelling of 506730 in words is "five hundred six thousand, seven hundred thirty".