531042400 has 432 divisors, whose sum is σ = 1709890560. Its totient is φ = 159667200.

The previous prime is 531042397. The next prime is 531042401. The reversal of 531042400 is 4240135.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531042401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 17130385 + ... + 17130415.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^531042400 is an apocalyptic number.

531042400 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 531042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

531042400 is an abundant number, since it is smaller than the sum of its proper divisors (1178848160).

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

531042400 is a wasteful number, since it uses less digits than its factorization.

531042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 531042400 is about 23044.3572268788. The cubic root of 531042400 is about 809.7974395690.

Adding to 531042400 its reverse (4240135), we get a palindrome (535282535).

The spelling of 531042400 in words is "five hundred thirty-one million, forty-two thousand, four hundred".