482568120 has 192 divisors, whose sum is σ = 1718496000. Its totient is φ = 116895744.

The previous prime is 482568101. The next prime is 482568167. The reversal of 482568120 is 21865284.

482568120 is a `hidden beast` number, since 4 + 82 + 568 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176121 + ... + 178839.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2^482568120 is an apocalyptic number.

482568120 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 482568120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859248000).

482568120 is an abundant number, since it is smaller than the sum of its proper divisors (1235927880).

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

482568120 is a wasteful number, since it uses less digits than its factorization.

482568120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 482568120 is about 21967.4331682152. The cubic root of 482568120 is about 784.3674133433.

The spelling of 482568120 in words is "four hundred eighty-two million, five hundred sixty-eight thousand, one hundred twenty".