531280 has 40 divisors (see below), whose sum is σ = 1283400. Its totient is φ = 204288.

The previous prime is 531263. The next prime is 531281. The reversal of 531280 is 82135.

531280 = T₁₇₃ + T₁₇₄ + ... + T₂₀₂.

531280 = 31² + 32² + ... + 117².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 364816 = 408^2 + 604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2206 + ... + 2434.

It is an arithmetic number, because the mean of its divisors is an integer number (32085).

2⁵³¹²⁸⁰ 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 531280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641700).

531280 is an abundant number, since it is smaller than the sum of its proper divisors (752120).

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

531280 is a wasteful number, since it uses less digits than its factorization.

531280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 531280 is about 728.8895663953. The cubic root of 531280 is about 80.9918195264.

The spelling of 531280 in words is "five hundred thirty-one thousand, two hundred eighty".