531344880 has 480 divisors, whose sum is σ = 2137363200. Its totient is φ = 120890880.

The previous prime is 531344857. The next prime is 531344887. The reversal of 531344880 is 88443135.

531344880 is a `hidden beast` number, since 531 + 3 + 4 + 48 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531344887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4965787 + ... + 4965893.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^531344880 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 531344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

531344880 is an abundant number, since it is smaller than the sum of its proper divisors (1606018320).

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

531344880 is a wasteful number, since it uses less digits than its factorization.

531344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 531344880 is about 23050.9192875252. The cubic root of 531344880 is about 809.9511630363.

The spelling of 531344880 in words is "five hundred thirty-one million, three hundred forty-four thousand, eight hundred eighty".