512004 has 12 divisors (see below), whose sum is σ = 1194704. Its totient is φ = 170664.

The previous prime is 511997. The next prime is 512009. The reversal of 512004 is 400215.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 42667 = 512004 / (5 + 1 + 2 + 0 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (512009) by changing a digit.

512004 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21322 + ... + 21345.

2⁵¹²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

512004 is an abundant number, since it is smaller than the sum of its proper divisors (682700).

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

512004 is a wasteful number, since it uses less digits than its factorization.

512004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42674 (or 42672 counting only the distinct ones).

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

The square root of 512004 is about 715.5445478794. The cubic root of 512004 is about 80.0002083328. Note that the first 3 decimals are identical.

Adding to 512004 its reverse (400215), we get a palindrome (912219).

The spelling of 512004 in words is "five hundred twelve thousand, four".