531326400 has 336 divisors, whose sum is σ = 1972909440. Its totient is φ = 124006400.

The previous prime is 531326377. The next prime is 531326413. The reversal of 531326400 is 4623135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531027 + ... + 1531373.

Almost surely, 2^531326400 is an apocalyptic number.

531326400 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 531326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986454720).

531326400 is an abundant number, since it is smaller than the sum of its proper divisors (1441583040).

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

531326400 is a wasteful number, since it uses less digits than its factorization.

531326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 531326400 is about 23050.5184323477. The cubic root of 531326400 is about 809.9417729826.

Adding to 531326400 its reverse (4623135), we get a palindrome (535949535).

It can be divided in two parts, 5313 and 26400, that added together give a palindrome (31713).

The spelling of 531326400 in words is "five hundred thirty-one million, three hundred twenty-six thousand, four hundred".