531322400 has 144 divisors (see below), whose sum is σ = 1502403840. Its totient is φ = 179712000.

The previous prime is 531322399. The next prime is 531322417. The reversal of 531322400 is 4223135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441800 + ... + 443000.

It is an arithmetic number, because the mean of its divisors is an integer number (10433360).

Almost surely, 2^531322400 is an apocalyptic number.

531322400 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 531322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751201920).

531322400 is an abundant number, since it is smaller than the sum of its proper divisors (971081440).

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

531322400 is a wasteful number, since it uses less digits than its factorization.

531322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 531322400 is about 23050.4316662400. The cubic root of 531322400 is about 809.9397404747.

Adding to 531322400 its reverse (4223135), we get a palindrome (535545535).

The spelling of 531322400 in words is "five hundred thirty-one million, three hundred twenty-two thousand, four hundred".