531360000 has 450 divisors, whose sum is σ = 2028180462. Its totient is φ = 138240000.

The previous prime is 531359989. The next prime is 531360001. The reversal of 531360000 is 63135.

531360000 is a `hidden beast` number, since 53 + 13 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 355850496 + 175509504 = 18864^2 + 13248^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531360001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12959980 + ... + 12960020.

Almost surely, 2^531360000 is an apocalyptic number.

531360000 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 531360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014090231).

531360000 is an abundant number, since it is smaller than the sum of its proper divisors (1496820462).

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

531360000 is an frugal number, since it uses more digits than its factorization.

531360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 531360000 is about 23051.2472547583. The cubic root of 531360000 is about 809.9588456457.

The spelling of 531360000 in words is "five hundred thirty-one million, three hundred sixty thousand".