485120160 has 576 divisors, whose sum is σ = 2122848000. Its totient is φ = 98205696.

The previous prime is 485120123. The next prime is 485120161. The reversal of 485120160 is 61021584.

485120160 is a `hidden beast` number, since 485 + 1 + 20 + 160 = 666.

It is not an unprimeable number, because it can be changed into a prime (485120161) 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 95 ways as a sum of consecutive naturals, for example, 3255766 + ... + 3255914.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^485120160 is an apocalyptic number.

485120160 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 485120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061424000).

485120160 is an abundant number, since it is smaller than the sum of its proper divisors (1637727840).

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

485120160 is a wasteful number, since it uses less digits than its factorization.

485120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 485120160 is about 22025.4434688612. The cubic root of 485120160 is about 785.7476804067.

The spelling of 485120160 in words is "four hundred eighty-five million, one hundred twenty thousand, one hundred sixty".