531320400 has 180 divisors, whose sum is σ = 1985837308. Its totient is φ = 130775040.

The previous prime is 531320399. The next prime is 531320417. The reversal of 531320400 is 4023135.

It can be written as a sum of positive squares in 6 ways, for example, as 102333456 + 428986944 = 10116^2 + 20712^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41124 + ... + 52476.

Almost surely, 2^531320400 is an apocalyptic number.

531320400 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 531320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992918654).

531320400 is an abundant number, since it is smaller than the sum of its proper divisors (1454516908).

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

531320400 is a wasteful number, since it uses less digits than its factorization.

531320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 531320400 is about 23050.3882830637. The cubic root of 531320400 is about 809.9387242170.

Adding to 531320400 its reverse (4023135), we get a palindrome (535343535).

The spelling of 531320400 in words is "five hundred thirty-one million, three hundred twenty thousand, four hundred".