531400320 has 192 divisors, whose sum is σ = 2002047840. Its totient is φ = 128808960.

The previous prime is 531400319. The next prime is 531400333. The reversal of 531400320 is 23004135.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×531400320² = 564772600192204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 531400293 and 531400302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59167 + ... + 67553.

Almost surely, 2^531400320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001023920).

531400320 is an abundant number, since it is smaller than the sum of its proper divisors (1470647520).

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

531400320 is a wasteful number, since it uses less digits than its factorization.

531400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423 (or 8408 counting only the distinct ones).

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

The square root of 531400320 is about 23052.1218112346. The cubic root of 531400320 is about 809.9793318915.

Adding to 531400320 its reverse (23004135), we get a palindrome (554404455).

The spelling of 531400320 in words is "five hundred thirty-one million, four hundred thousand, three hundred twenty".