530006400 has 576 divisors, whose sum is σ = 2367705600. Its totient is φ = 109670400.

The previous prime is 530006383. The next prime is 530006401. The reversal of 530006400 is 4600035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530006401) 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, 2217481 + ... + 2217719.

It is an arithmetic number, because the mean of its divisors is an integer number (4110600).

Almost surely, 2^530006400 is an apocalyptic number.

530006400 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 530006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183852800).

530006400 is an abundant number, since it is smaller than the sum of its proper divisors (1837699200).

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

530006400 is a wasteful number, since it uses less digits than its factorization.

530006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 530006400 is about 23021.8678651407. The cubic root of 530006400 is about 809.2704908714.

Adding to 530006400 its reverse (4600035), we get a palindrome (534606435).

The spelling of 530006400 in words is "five hundred thirty million, six thousand, four hundred".