511904 has 24 divisors (see below), whose sum is σ = 1068228. Its totient is φ = 240640.

The previous prime is 511897. The next prime is 511909. The reversal of 511904 is 409115.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 21904 = 700^2 + 148^2 .

It is not an unprimeable number, because it can be changed into a prime (511909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 1014.

2⁵¹¹⁹⁰⁴ 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 511904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534114).

511904 is an abundant number, since it is smaller than the sum of its proper divisors (556324).

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

511904 is a wasteful number, since it uses less digits than its factorization.

511904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 511904 is about 715.4746676158. The cubic root of 511904 is about 79.9949996875.

The spelling of 511904 in words is "five hundred eleven thousand, nine hundred four".