511488 has 80 divisors (see below), whose sum is σ = 1554960. Its totient is φ = 165888.

The previous prime is 511487. The next prime is 511507. The reversal of 511488 is 884115.

It is a Harshad number since it is a multiple of its sum of digits (27).

511488 is a Rhonda number in base 15.

Its product of digits (1280) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13806 + ... + 13842.

It is an arithmetic number, because the mean of its divisors is an integer number (19437).

2⁵¹¹⁴⁸⁸ 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 511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777480).

511488 is an abundant number, since it is smaller than the sum of its proper divisors (1043472).

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

511488 is an equidigital number, since it uses as much as digits as its factorization.

511488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 511488 is about 715.1838924361. The cubic root of 511488 is about 79.9733244395.

It can be divided in two parts, 511 and 488, that added together give a palindrome (999).

The spelling of 511488 in words is "five hundred eleven thousand, four hundred eighty-eight".