532206400 has 126 divisors (see below), whose sum is σ = 1439957750. Its totient is φ = 193459200.

The previous prime is 532206391. The next prime is 532206421. The reversal of 532206400 is 4602235.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 627264 + 531579136 = 792^2 + 23056^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192226 + ... + 194974.

Almost surely, 2^532206400 is an apocalyptic number.

532206400 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 532206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719978875).

532206400 is an abundant number, since it is smaller than the sum of its proper divisors (907751350).

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

532206400 is a wasteful number, since it uses less digits than its factorization.

532206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 532206400 is about 23069.5990428963. The cubic root of 532206400 is about 810.3886769505.

Adding to 532206400 its reverse (4602235), we get a palindrome (536808635).

The spelling of 532206400 in words is "five hundred thirty-two million, two hundred six thousand, four hundred".