485523210240 has 960 divisors, whose sum is σ = 1824969861120. Its totient is φ = 122305904640.

The previous prime is 485523210233. The next prime is 485523210283. The reversal of 485523210240 is 42012325584.

485523210240 is a `hidden beast` number, since 4 + 85 + 523 + 2 + 10 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 485523210195 and 485523210204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5005393872 + ... + 5005393968.

It is an arithmetic number, because the mean of its divisors is an integer number (1901010272).

Almost surely, 2^485523210240 is an apocalyptic number.

485523210240 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 485523210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912484930560).

485523210240 is an abundant number, since it is smaller than the sum of its proper divisors (1339446650880).

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

485523210240 is an equidigital number, since it uses as much as digits as its factorization.

485523210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 485523210240 in words is "four hundred eighty-five billion, five hundred twenty-three million, two hundred ten thousand, two hundred forty".