532400 has 60 divisors (see below), whose sum is σ = 1406904. Its totient is φ = 193600.

The previous prime is 532391. The next prime is 532403. The reversal of 532400 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 not an unprimeable number, because it can be changed into a prime (532403) by changing a digit.

532400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48395 + ... + 48405.

2⁵³²⁴⁰⁰ is an apocalyptic number.

532400 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 532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703452).

532400 is an abundant number, since it is smaller than the sum of its proper divisors (874504).

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

532400 is a wasteful number, since it uses less digits than its factorization.

532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 18 counting only the distinct ones).

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

The square root of 532400 is about 729.6574538782. The cubic root of 532400 is about 81.0486929701.

Adding to 532400 its reverse (4235), we get a palindrome (536635).

The spelling of 532400 in words is "five hundred thirty-two thousand, four hundred".