485205120 has 256 divisors, whose sum is σ = 1761091200. Its totient is φ = 126185472.

The previous prime is 485205113. The next prime is 485205121. The reversal of 485205120 is 21502584.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (485205121) 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 31 ways as a sum of consecutive naturals, for example, 742714 + ... + 743366.

Almost surely, 2^485205120 is an apocalyptic number.

485205120 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 485205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880545600).

485205120 is an abundant number, since it is smaller than the sum of its proper divisors (1275886080).

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

485205120 is a wasteful number, since it uses less digits than its factorization.

485205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 485205120 is about 22027.3720629584. The cubic root of 485205120 is about 785.7935475490.

The spelling of 485205120 in words is "four hundred eighty-five million, two hundred five thousand, one hundred twenty".