510204 has 48 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 153600.

The previous prime is 510203. The next prime is 510217. The reversal of 510204 is 402015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 510204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8334 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁵¹⁰²⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

510204 is an abundant number, since it is smaller than the sum of its proper divisors (802212).

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

510204 is a wasteful number, since it uses less digits than its factorization.

510204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 510204 is about 714.2856571429. The cubic root of 510204 is about 79.9063487441.

Adding to 510204 its reverse (402015), we get a palindrome (912219).

The spelling of 510204 in words is "five hundred ten thousand, two hundred four".