531241920 has 336 divisors, whose sum is σ = 2046975840. Its totient is φ = 125337600.

The previous prime is 531241903. The next prime is 531241927. The reversal of 531241920 is 29142135.

531241920 is a `hidden beast` number, since 531 + 2 + 41 + 92 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531241927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298676 + ... + 1299084.

It is an arithmetic number, because the mean of its divisors is an integer number (6092190).

Almost surely, 2^531241920 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 531241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023487920).

531241920 is an abundant number, since it is smaller than the sum of its proper divisors (1515733920).

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

531241920 is a wasteful number, since it uses less digits than its factorization.

531241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 531241920 is about 23048.6858627558. The cubic root of 531241920 is about 809.8988442494.

The spelling of 531241920 in words is "five hundred thirty-one million, two hundred forty-one thousand, nine hundred twenty".