482835600 has 480 divisors, whose sum is σ = 1958902400. Its totient is φ = 111974400.

The previous prime is 482835593. The next prime is 482835601. The reversal of 482835600 is 6538284.

482835600 is a `hidden beast` number, since 48 + 2 + 8 + 3 + 5 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (482835601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2667510 + ... + 2667690.

Almost surely, 2^482835600 is an apocalyptic number.

482835600 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 482835600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979451200).

482835600 is an abundant number, since it is smaller than the sum of its proper divisors (1476066800).

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

482835600 is a wasteful number, since it uses less digits than its factorization.

482835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 482835600 is about 21973.5204280061. The cubic root of 482835600 is about 784.5123074599.

The spelling of 482835600 in words is "four hundred eighty-two million, eight hundred thirty-five thousand, six hundred".