531441240 has 128 divisors (see below), whose sum is σ = 1799366400. Its totient is φ = 124382720.

The previous prime is 531441223. The next prime is 531441283. The reversal of 531441240 is 42144135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 531441240.

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, 31339 + ... + 45221.

It is an arithmetic number, because the mean of its divisors is an integer number (14057550).

Almost surely, 2^531441240 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 531441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899683200).

531441240 is an abundant number, since it is smaller than the sum of its proper divisors (1267925160).

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

531441240 is a wasteful number, since it uses less digits than its factorization.

531441240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 531441240 is about 23053.0093480222. The cubic root of 531441240 is about 810.0001219326. Note that the first 3 decimals are identical.

Adding to 531441240 its reverse (42144135), we get a palindrome (573585375).

The spelling of 531441240 in words is "five hundred thirty-one million, four hundred forty-one thousand, two hundred forty".