531969984 has 448 divisors, whose sum is σ = 2048256000. Its totient is φ = 131383296.

The previous prime is 531969943. The next prime is 531970003. The reversal of 531969984 is 489969135.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 531969984.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2673117 + ... + 2673315.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2^531969984 is an apocalyptic number.

531969984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531969984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128000).

531969984 is an abundant number, since it is smaller than the sum of its proper divisors (1516286016).

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

531969984 is a wasteful number, since it uses less digits than its factorization.

531969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 531969984 is about 23064.4745008422. The cubic root of 531969984 is about 810.2686625942.

The spelling of 531969984 in words is "five hundred thirty-one million, nine hundred sixty-nine thousand, nine hundred eighty-four".