531988800 has 336 divisors, whose sum is σ = 2031869952. Its totient is φ = 119347200.

The previous prime is 531988763. The next prime is 531988859. The reversal of 531988800 is 8889135.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385489 + ... + 2385711.

It is an arithmetic number, because the mean of its divisors is an integer number (6047232).

Almost surely, 2^531988800 is an apocalyptic number.

531988800 is a gapful number since it is divisible by the number (50) 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 531988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015934976).

531988800 is an abundant number, since it is smaller than the sum of its proper divisors (1499881152).

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

531988800 is a wasteful number, since it uses less digits than its factorization.

531988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 531988800 is about 23064.8823972723. The cubic root of 531988800 is about 810.2782156617.

The spelling of 531988800 in words is "five hundred thirty-one million, nine hundred eighty-eight thousand, eight hundred".