530626800 has 240 divisors, whose sum is σ = 1887557760. Its totient is φ = 126336000.

The previous prime is 530626799. The next prime is 530626823. The reversal of 530626800 is 8626035.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804871 + ... + 805529.

It is an arithmetic number, because the mean of its divisors is an integer number (7864824).

Almost surely, 2^530626800 is an apocalyptic number.

530626800 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 530626800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943778880).

530626800 is an abundant number, since it is smaller than the sum of its proper divisors (1356930960).

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

530626800 is a wasteful number, since it uses less digits than its factorization.

530626800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 530626800 is about 23035.3380700176. The cubic root of 530626800 is about 809.5861321162.

The spelling of 530626800 in words is "five hundred thirty million, six hundred twenty-six thousand, eight hundred".