531210240 has 336 divisors, whose sum is σ = 2024152416. Its totient is φ = 127795200.

The previous prime is 531210193. The next prime is 531210259. The reversal of 531210240 is 42012135.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054975 + ... + 4055105.

Almost surely, 2^531210240 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 531210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012076208).

531210240 is an abundant number, since it is smaller than the sum of its proper divisors (1492942176).

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

531210240 is a wasteful number, since it uses less digits than its factorization.

531210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 531210240 is about 23047.9986115932. The cubic root of 531210240 is about 809.8827448011.

Adding to 531210240 its reverse (42012135), we get a palindrome (573222375).

The spelling of 531210240 in words is "five hundred thirty-one million, two hundred ten thousand, two hundred forty".