4684085120 has 384 divisors, whose sum is σ = 13762068480. Its totient is φ = 1509580800.

The previous prime is 4684085113. The next prime is 4684085129. The reversal of 4684085120 is 215804864.

It is a happy number.

It is a super-2 number, since 2×4684085120² = 43881306822810828800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4684085129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36882497 + ... + 36882623.

It is an arithmetic number, because the mean of its divisors is an integer number (35838720).

Almost surely, 2^4684085120 is an apocalyptic number.

4684085120 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 4684085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881034240).

4684085120 is an abundant number, since it is smaller than the sum of its proper divisors (9077983360).

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

4684085120 is a wasteful number, since it uses less digits than its factorization.

4684085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 4684085120 is about 68440.3763870422. The cubic root of 4684085120 is about 1673.1758705746.

Adding to 4684085120 its reverse (215804864), we get a palindrome (4899889984).

The spelling of 4684085120 in words is "four billion, six hundred eighty-four million, eighty-five thousand, one hundred twenty".