485754091200 has 1134 divisors, whose sum is σ = 2120737758516. Its totient is φ = 105130690560.

The previous prime is 485754091159. The next prime is 485754091213. The reversal of 485754091200 is 2190457584.

485754091200 is a `hidden beast` number, since 4 + 85 + 7 + 540 + 9 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 254720647 + ... + 254722553.

Almost surely, 2^485754091200 is an apocalyptic number.

485754091200 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 485754091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060368879258).

485754091200 is an abundant number, since it is smaller than the sum of its proper divisors (1634983667316).

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

485754091200 is a wasteful number, since it uses less digits than its factorization.

485754091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 485754091200 in words is "four hundred eighty-five billion, seven hundred fifty-four million, ninety-one thousand, two hundred".