531243360 has 240 divisors, whose sum is σ = 1893553200. Its totient is φ = 140258304.

The previous prime is 531243359. The next prime is 531243367. The reversal of 531243360 is 63342135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531243367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2319726 + ... + 2319954.

It is an arithmetic number, because the mean of its divisors is an integer number (7889805).

Almost surely, 2^531243360 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 531243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946776600).

531243360 is an abundant number, since it is smaller than the sum of its proper divisors (1362309840).

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

531243360 is a wasteful number, since it uses less digits than its factorization.

531243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 531243360 is about 23048.7171009581. The cubic root of 531243360 is about 809.8995760273.

Adding to 531243360 its reverse (63342135), we get a palindrome (594585495).

The spelling of 531243360 in words is "five hundred thirty-one million, two hundred forty-three thousand, three hundred sixty".