531271440 has 320 divisors, whose sum is σ = 2144862720. Its totient is φ = 118333440.

The previous prime is 531271439. The next prime is 531271451. The reversal of 531271440 is 44172135.

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 63 ways as a sum of consecutive naturals, for example, 619492 + ... + 620348.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^531271440 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 531271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

531271440 is an abundant number, since it is smaller than the sum of its proper divisors (1613591280).

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

531271440 is a wasteful number, since it uses less digits than its factorization.

531271440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 531271440 is about 23049.3262374413. The cubic root of 531271440 is about 809.9138454319.

The spelling of 531271440 in words is "five hundred thirty-one million, two hundred seventy-one thousand, four hundred forty".