482050800 has 720 divisors, whose sum is σ = 2187574272. Its totient is φ = 95385600.

The previous prime is 482050781. The next prime is 482050801. The reversal of 482050800 is 8050284.

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482050801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10256377 + ... + 10256423.

Almost surely, 2^482050800 is an apocalyptic number.

482050800 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 482050800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093787136).

482050800 is an abundant number, since it is smaller than the sum of its proper divisors (1705523472).

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

482050800 is a wasteful number, since it uses less digits than its factorization.

482050800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 482050800 is about 21955.6553079155. The cubic root of 482050800 is about 784.0870287257.

The spelling of 482050800 in words is "four hundred eighty-two million, fifty thousand, eight hundred".