531489504 has 192 divisors, whose sum is σ = 1740178944. Its totient is φ = 138295296.

The previous prime is 531489499. The next prime is 531489509. The reversal of 531489504 is 405984135.

It is an interprime number because it is at equal distance from previous prime (531489499) and next prime (531489509).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531489509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724722 + ... + 725454.

It is an arithmetic number, because the mean of its divisors is an integer number (9063432).

Almost surely, 2^531489504 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 531489504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870089472).

531489504 is an abundant number, since it is smaller than the sum of its proper divisors (1208689440).

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

531489504 is a wasteful number, since it uses less digits than its factorization.

531489504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 531489504 is about 23054.0561290199. The cubic root of 531489504 is about 810.0246418353.

The spelling of 531489504 in words is "five hundred thirty-one million, four hundred eighty-nine thousand, five hundred four".