530204486400 has 810 divisors, whose sum is σ = 2083097519580. Its totient is φ = 133033328640.

The previous prime is 530204486389. The next prime is 530204486443. The reversal of 530204486400 is 4684402035.

530204486400 is a `hidden beast` number, since 5 + 3 + 0 + 2 + 0 + 4 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-3 number, since 3×530204486400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 149815831 + ... + 149819369.

Almost surely, 2^530204486400 is an apocalyptic number.

530204486400 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 530204486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041548759790).

530204486400 is an abundant number, since it is smaller than the sum of its proper divisors (1552893033180).

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

530204486400 is a wasteful number, since it uses less digits than its factorization.

530204486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 530204486400 its reverse (4684402035), we get a palindrome (534888888435).

The spelling of 530204486400 in words is "five hundred thirty billion, two hundred four million, four hundred eighty-six thousand, four hundred".