482565600 has 360 divisors, whose sum is σ = 1922642568. Its totient is φ = 116812800.

The previous prime is 482565521. The next prime is 482565637. The reversal of 482565600 is 6565284.

482565600 is a `hidden beast` number, since 48 + 2 + 5 + 6 + 5 + 600 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712462 + ... + 713138.

Almost surely, 2^482565600 is an apocalyptic number.

482565600 is a gapful number since it is divisible by the number (40) 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 482565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961321284).

482565600 is an abundant number, since it is smaller than the sum of its proper divisors (1440076968).

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

482565600 is a wasteful number, since it uses less digits than its factorization.

482565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 482565600 is about 21967.3758105059. The cubic root of 482565600 is about 784.3660480029.

The spelling of 482565600 in words is "four hundred eighty-two million, five hundred sixty-five thousand, six hundred".