531411400 has 96 divisors (see below), whose sum is σ = 1336867560. Its totient is φ = 195287040.

The previous prime is 531411379. The next prime is 531411403. The reversal of 531411400 is 4114135.

It can be written as a sum of positive squares in 12 ways, for example, as 95687524 + 435723876 = 9782^2 + 20874^2 .

It is not an unprimeable number, because it can be changed into a prime (531411403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813474 + ... + 814126.

Almost surely, 2^531411400 is an apocalyptic number.

531411400 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 531411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668433780).

531411400 is an abundant number, since it is smaller than the sum of its proper divisors (805456160).

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

531411400 is a wasteful number, since it uses less digits than its factorization.

531411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 531411400 is about 23052.3621349310. The cubic root of 531411400 is about 809.9849613628.

Adding to 531411400 its reverse (4114135), we get a palindrome (535525535).

The spelling of 531411400 in words is "five hundred thirty-one million, four hundred eleven thousand, four hundred".