530510400 has 504 divisors, whose sum is σ = 2276530880. Its totient is φ = 114462720.

The previous prime is 530510371. The next prime is 530510411. The reversal of 530510400 is 4015035.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915062 + ... + 1915338.

Almost surely, 2^530510400 is an apocalyptic number.

530510400 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 530510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138265440).

530510400 is an abundant number, since it is smaller than the sum of its proper divisors (1746020480).

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

530510400 is a wasteful number, since it uses less digits than its factorization.

530510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 530510400 is about 23032.8113785530. The cubic root of 530510400 is about 809.5269299819.

Adding to 530510400 its reverse (4015035), we get a palindrome (534525435).

The spelling of 530510400 in words is "five hundred thirty million, five hundred ten thousand, four hundred".