482591200 has 216 divisors, whose sum is σ = 1477452312. Its totient is φ = 152570880.

The previous prime is 482591147. The next prime is 482591201. The reversal of 482591200 is 2195284.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482591201) by changing a digit.

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, 509127 + ... + 510073.

It is an arithmetic number, because the mean of its divisors is an integer number (6840057).

Almost surely, 2^482591200 is an apocalyptic number.

482591200 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 482591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738726156).

482591200 is an abundant number, since it is smaller than the sum of its proper divisors (994861112).

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

482591200 is a wasteful number, since it uses less digits than its factorization.

482591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 482591200 is about 21967.9584850300. The cubic root of 482591200 is about 784.3799179070.

The spelling of 482591200 in words is "four hundred eighty-two million, five hundred ninety-one thousand, two hundred".