512730 has 48 divisors (see below), whose sum is σ = 1389024. Its totient is φ = 136080.

The previous prime is 512717. The next prime is 512741. The reversal of 512730 is 37215.

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2325 + ... + 2535.

It is an arithmetic number, because the mean of its divisors is an integer number (28938).

2⁵¹²⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694512).

512730 is an abundant number, since it is smaller than the sum of its proper divisors (876294).

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

512730 is a wasteful number, since it uses less digits than its factorization.

512730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 512730 is about 716.0516741130. The cubic root of 512730 is about 80.0380027778.

Adding to 512730 its reverse (37215), we get a palindrome (549945).

The spelling of 512730 in words is "five hundred twelve thousand, seven hundred thirty".