511280 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 157440.

The previous prime is 511279. The next prime is 511289. The reversal of 511280 is 82115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×511280² = 522814476800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511289) 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, 6119 + ... + 6201.

2⁵¹¹²⁸⁰ 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 511280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

511280 is an abundant number, since it is smaller than the sum of its proper divisors (988624).

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

511280 is a wasteful number, since it uses less digits than its factorization.

511280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 511280 is about 715.0384605040. The cubic root of 511280 is about 79.9624824081.

Adding to 511280 its reverse (82115), we get a palindrome (593395).

It can be divided in two parts, 51 and 1280, that added together give a palindrome (1331).

The spelling of 511280 in words is "five hundred eleven thousand, two hundred eighty".