530310400 has 216 divisors, whose sum is σ = 1405160064. Its totient is φ = 197836800.

The previous prime is 530310383. The next prime is 530310413. The reversal of 530310400 is 4013035.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11283177 + ... + 11283223.

Almost surely, 2^530310400 is an apocalyptic number.

530310400 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 530310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702580032).

530310400 is an abundant number, since it is smaller than the sum of its proper divisors (874849664).

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

530310400 is a wasteful number, since it uses less digits than its factorization.

530310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 530310400 is about 23028.4693368882. The cubic root of 530310400 is about 809.4251878759.

Adding to 530310400 its reverse (4013035), we get a palindrome (534323435).

The spelling of 530310400 in words is "five hundred thirty million, three hundred ten thousand, four hundred".