511840 has 48 divisors (see below), whose sum is σ = 1384992. Its totient is φ = 175104.

The previous prime is 511831. The next prime is 511843. The reversal of 511840 is 48115.

511840 = 56² + 57² + ... + 119².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511843) 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 7 ways as a sum of consecutive naturals, for example, 892 + ... + 1348.

It is an arithmetic number, because the mean of its divisors is an integer number (28854).

2⁵¹¹⁸⁴⁰ 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 511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692496).

511840 is an abundant number, since it is smaller than the sum of its proper divisors (873152).

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

511840 is a wasteful number, since it uses less digits than its factorization.

511840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 511840 is about 715.4299406651. The cubic root of 511840 is about 79.9916657985.

Adding to 511840 its product of nonzero digits (160), we get a cube (512000 = 80³).

Adding to 511840 its reverse (48115), we get a palindrome (559955).

It can be divided in two parts, 51 and 1840, that added together give a triangular number (1891 = T₆₁).

The spelling of 511840 in words is "five hundred eleven thousand, eight hundred forty".