531488 has 24 divisors (see below), whose sum is σ = 1109052. Its totient is φ = 249856.

The previous prime is 531481. The next prime is 531497. The reversal of 531488 is 884135.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 85264 = 668^2 + 292^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 531488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531481) by changing a digit.

531488 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56 + ... + 1032.

2⁵³¹⁴⁸⁸ 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 531488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554526).

531488 is an abundant number, since it is smaller than the sum of its proper divisors (577564).

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

531488 is a wasteful number, since it uses less digits than its factorization.

531488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 996 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 531488 is about 729.0322352269. The cubic root of 531488 is about 81.0023877770.

The spelling of 531488 in words is "five hundred thirty-one thousand, four hundred eighty-eight".