484915242240 has 648 divisors, whose sum is σ = 1981987836192. Its totient is φ = 108507709440.

The previous prime is 484915242193. The next prime is 484915242241. The reversal of 484915242240 is 42242519484.

484915242240 is a `hidden beast` number, since 4 + 84 + 9 + 1 + 524 + 2 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484915242241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 21404359 + ... + 21427001.

It is an arithmetic number, because the mean of its divisors is an integer number (3058623204).

Almost surely, 2^484915242240 is an apocalyptic number.

484915242240 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 484915242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990993918096).

484915242240 is an abundant number, since it is smaller than the sum of its proper divisors (1497072593952).

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

484915242240 is a wasteful number, since it uses less digits than its factorization.

484915242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22707 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 484915242240 in words is "four hundred eighty-four billion, nine hundred fifteen million, two hundred forty-two thousand, two hundred forty".