485753241600 has 1125 divisors, whose sum is σ = 1979449718785. Its totient is φ = 117758361600.

The previous prime is 485753241587. The next prime is 485753241601. The reversal of 485753241600 is 6142357584.

The square root of 485753241600 is 696960.

It is a perfect power (a square), and thus also a powerful number.

485753241600 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 5 + 32 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174871166976 + 310882074624 = 418176^2 + 557568^2 .

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

It is not an unprimeable number, because it can be changed into a prime (485753241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 44159385595 + ... + 44159385605.

Almost surely, 2^485753241600 is an apocalyptic number.

485753241600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

485753241600 is the 696960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485753241600

485753241600 is an abundant number, since it is smaller than the sum of its proper divisors (1493696477185).

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

485753241600 is an frugal number, since it uses more digits than its factorization.

485753241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 485753241600 in words is "four hundred eighty-five billion, seven hundred fifty-three million, two hundred forty-one thousand, six hundred".