484895769120 has 576 divisors, whose sum is σ = 1979581234176. Its totient is φ = 109790899200.

The previous prime is 484895769119. The next prime is 484895769131. The reversal of 484895769120 is 21967598484.

484895769120 is a `hidden beast` number, since 4 + 8 + 48 + 9 + 576 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 29112795 + ... + 29129445.

It is an arithmetic number, because the mean of its divisors is an integer number (3436772976).

Almost surely, 2^484895769120 is an apocalyptic number.

484895769120 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 484895769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989790617088).

484895769120 is an abundant number, since it is smaller than the sum of its proper divisors (1494685465056).

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

484895769120 is a wasteful number, since it uses less digits than its factorization.

484895769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16795 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 484895769120 in words is "four hundred eighty-four billion, eight hundred ninety-five million, seven hundred sixty-nine thousand, one hundred twenty".