530726400 has 360 divisors, whose sum is σ = 2018469024. Its totient is φ = 132710400.

The previous prime is 530726389. The next prime is 530726447. The reversal of 530726400 is 4627035.

It is a happy number.

530726400 is a `hidden beast` number, since 530 + 72 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1958265 + ... + 1958535.

Almost surely, 2^530726400 is an apocalyptic number.

530726400 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 530726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009234512).

530726400 is an abundant number, since it is smaller than the sum of its proper divisors (1487742624).

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

530726400 is a wasteful number, since it uses less digits than its factorization.

530726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 530726400 is about 23037.4998643516. The cubic root of 530726400 is about 809.6367827393.

The spelling of 530726400 in words is "five hundred thirty million, seven hundred twenty-six thousand, four hundred".