531930240 has 320 divisors, whose sum is σ = 1966821120. Its totient is φ = 136857600.

The previous prime is 531930233. The next prime is 531930281. The reversal of 531930240 is 42039135.

531930240 is a `hidden beast` number, since 5 + 319 + 302 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1606875 + ... + 1607205.

It is an arithmetic number, because the mean of its divisors is an integer number (6146316).

Almost surely, 2^531930240 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 531930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983410560).

531930240 is an abundant number, since it is smaller than the sum of its proper divisors (1434890880).

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

531930240 is a wasteful number, since it uses less digits than its factorization.

531930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 531930240 is about 23063.6128999773. The cubic root of 531930240 is about 810.2484834358.

Adding to 531930240 its reverse (42039135), we get a palindrome (573969375).

The spelling of 531930240 in words is "five hundred thirty-one million, nine hundred thirty thousand, two hundred forty".