485968000 has 128 divisors (see below), whose sum is σ = 1381161600. Its totient is φ = 166579200.

The previous prime is 485967961. The next prime is 485968009. The reversal of 485968000 is 869584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (485968009) 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 15 ways as a sum of consecutive naturals, for example, 109831 + ... + 114169.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2^485968000 is an apocalyptic number.

485968000 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 485968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800).

485968000 is an abundant number, since it is smaller than the sum of its proper divisors (895193600).

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

485968000 is an equidigital number, since it uses as much as digits as its factorization.

485968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 485968000 is about 22044.6818983627. The cubic root of 485968000 is about 786.2051619735.

The spelling of 485968000 in words is "four hundred eighty-five million, nine hundred sixty-eight thousand".