482211200 has 96 divisors (see below), whose sum is σ = 1229891520. Its totient is φ = 186624000.

The previous prime is 482211199. The next prime is 482211221. The reversal of 482211200 is 2112284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96770 + ... + 101630.

It is an arithmetic number, because the mean of its divisors is an integer number (12811370).

Almost surely, 2^482211200 is an apocalyptic number.

482211200 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 482211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614945760).

482211200 is an abundant number, since it is smaller than the sum of its proper divisors (747680320).

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

482211200 is a wasteful number, since it uses less digits than its factorization.

482211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 482211200 is about 21959.3078215139. The cubic root of 482211200 is about 784.1739860979.

Adding to 482211200 its reverse (2112284), we get a palindrome (484323484).

The spelling of 482211200 in words is "four hundred eighty-two million, two hundred eleven thousand, two hundred".