530930400 has 864 divisors, whose sum is σ = 2470341888. Its totient is φ = 95846400.

The previous prime is 530930399. The next prime is 530930419. The reversal of 530930400 is 4039035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31231192 + ... + 31231208.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 2^530930400 is an apocalyptic number.

530930400 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 530930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235170944).

530930400 is an abundant number, since it is smaller than the sum of its proper divisors (1939411488).

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

530930400 is a wasteful number, since it uses less digits than its factorization.

530930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 530930400 is about 23041.9270027487. The cubic root of 530930400 is about 809.7405052010.

Adding to 530930400 its reverse (4039035), we get a palindrome (534969435).

It can be divided in two parts, 530 and 930400, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 530930400 in words is "five hundred thirty million, nine hundred thirty thousand, four hundred".