482755800 has 384 divisors, whose sum is σ = 1735603200. Its totient is φ = 110223360.

The previous prime is 482755733. The next prime is 482755831. The reversal of 482755800 is 8557284.

482755800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 9108574 + ... + 9108626.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^482755800 is an apocalyptic number.

482755800 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 482755800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867801600).

482755800 is an abundant number, since it is smaller than the sum of its proper divisors (1252847400).

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

482755800 is a wasteful number, since it uses less digits than its factorization.

482755800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 482755800 is about 21971.7045310554. The cubic root of 482755800 is about 784.4690853422.

The spelling of 482755800 in words is "four hundred eighty-two million, seven hundred fifty-five thousand, eight hundred".