485856000 has 432 divisors, whose sum is σ = 2006292288. Its totient is φ = 110592000.

The previous prime is 485855983. The next prime is 485856029. The reversal of 485856000 is 658584.

It is a happy number.

485856000 is a `hidden beast` number, since 48 + 5 + 8 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2015880 + ... + 2016120.

Almost surely, 2^485856000 is an apocalyptic number.

485856000 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 485856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003146144).

485856000 is an abundant number, since it is smaller than the sum of its proper divisors (1520436288).

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

485856000 is a wasteful number, since it uses less digits than its factorization.

485856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 485856000 is about 22042.1414567641. The cubic root of 485856000 is about 786.1447589952.

The spelling of 485856000 in words is "four hundred eighty-five million, eight hundred fifty-six thousand".