531568440 has 128 divisors (see below), whose sum is σ = 1908244800. Its totient is φ = 130844160.

The previous prime is 531568423. The next prime is 531568459. The reversal of 531568440 is 44865135.

It is a happy number.

531568440 is a `hidden beast` number, since 53 + 1 + 568 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 531568395 and 531568404.

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, 4891 + ... + 32970.

Almost surely, 2^531568440 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 531568440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954122400).

531568440 is an abundant number, since it is smaller than the sum of its proper divisors (1376676360).

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

531568440 is a wasteful number, since it uses less digits than its factorization.

531568440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37894 (or 37884 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 531568440 is about 23055.7680418589. The cubic root of 531568440 is about 810.0647410530.

The spelling of 531568440 in words is "five hundred thirty-one million, five hundred sixty-eight thousand, four hundred forty".