532400000 has 192 divisors, whose sum is σ = 1458187920. Its totient is φ = 193600000.

The previous prime is 532399979. The next prime is 532400027. The reversal of 532400000 is 4235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 23 ways as a sum of consecutive naturals, for example, 48399995 + ... + 48400005.

Almost surely, 2^532400000 is an apocalyptic number.

532400000 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 532400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729093960).

532400000 is an abundant number, since it is smaller than the sum of its proper divisors (925787920).

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

532400000 is an frugal number, since it uses more digits than its factorization.

532400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 532400000 is about 23073.7946597433. The cubic root of 532400000 is about 810.4869297009.

Adding to 532400000 its reverse (4235), we get a palindrome (532404235).

The spelling of 532400000 in words is "five hundred thirty-two million, four hundred thousand".