531296240 has 160 divisors (see below), whose sum is σ = 1426248000. Its totient is φ = 182697984.

The previous prime is 531296237. The next prime is 531296273. The reversal of 531296240 is 42692135.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 531296197 and 531296206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749006 + ... + 749714.

It is an arithmetic number, because the mean of its divisors is an integer number (8914050).

Almost surely, 2^531296240 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 531296240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713124000).

531296240 is an abundant number, since it is smaller than the sum of its proper divisors (894951760).

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

531296240 is a wasteful number, since it uses less digits than its factorization.

531296240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 531296240 is about 23049.8642078430. The cubic root of 531296240 is about 809.9264476219.

The spelling of 531296240 in words is "five hundred thirty-one million, two hundred ninety-six thousand, two hundred forty".