532544000 has 160 divisors (see below), whose sum is σ = 1361604816. Its totient is φ = 207667200.

The previous prime is 532543987. The next prime is 532544017. The reversal of 532544000 is 445235.

It can be written as a sum of positive squares in 8 ways, for example, as 18524416 + 514019584 = 4304^2 + 22672^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×532544000² = 567206223872000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3391922 + ... + 3392078.

Almost surely, 2^532544000 is an apocalyptic number.

532544000 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 532544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680802408).

532544000 is an abundant number, since it is smaller than the sum of its proper divisors (829060816).

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

532544000 is an equidigital number, since it uses as much as digits as its factorization.

532544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 532544000 is about 23076.9148717934. The cubic root of 532544000 is about 810.5599948130.

Adding to 532544000 its reverse (445235), we get a palindrome (532989235).

The spelling of 532544000 in words is "five hundred thirty-two million, five hundred forty-four thousand".