484105120 has 96 divisors (see below), whose sum is σ = 1196007120. Its totient is φ = 184934400.

The previous prime is 484105117. The next prime is 484105147. The reversal of 484105120 is 21501484.

It can be written as a sum of positive squares in 8 ways, for example, as 454030864 + 30074256 = 21308^2 + 5484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468124 + ... + 469156.

Almost surely, 2^484105120 is an apocalyptic number.

484105120 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 484105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598003560).

484105120 is an abundant number, since it is smaller than the sum of its proper divisors (711902000).

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

484105120 is a wasteful number, since it uses less digits than its factorization.

484105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 484105120 is about 22002.3889612015. The cubic root of 484105120 is about 785.1992786565.

The spelling of 484105120 in words is "four hundred eighty-four million, one hundred five thousand, one hundred twenty".