531046400 has 84 divisors (see below), whose sum is σ = 1317422562. Its totient is φ = 212336640.

The previous prime is 531046393. The next prime is 531046403. The reversal of 531046400 is 4640135.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 416813056 + 114233344 = 20416^2 + 10688^2 .

It is not an unprimeable number, because it can be changed into a prime (531046403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203504 + ... + 206096.

Almost surely, 2^531046400 is an apocalyptic number.

531046400 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 531046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658711281).

531046400 is an abundant number, since it is smaller than the sum of its proper divisors (786376162).

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

531046400 is an equidigital number, since it uses as much as digits as its factorization.

531046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 531046400 is about 23044.4440158577. Note that the first 3 decimals coincide. The cubic root of 531046400 is about 809.7994727912.

Adding to 531046400 its reverse (4640135), we get a palindrome (535686535).

The spelling of 531046400 in words is "five hundred thirty-one million, forty-six thousand, four hundred".