4806003360 has 192 divisors, whose sum is σ = 16403409792. Its totient is φ = 1178075136.

The previous prime is 4806003353. The next prime is 4806003379. The reversal of 4806003360 is 633006084.

It is a super-3 number, since 3×4806003360³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344032 + ... + 357728.

It is an arithmetic number, because the mean of its divisors is an integer number (85434426).

Almost surely, 2^4806003360 is an apocalyptic number.

4806003360 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 4806003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201704896).

4806003360 is an abundant number, since it is smaller than the sum of its proper divisors (11597406432).

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

4806003360 is a wasteful number, since it uses less digits than its factorization.

4806003360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13775 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4806003360 is about 69325.3442833139. The cubic root of 4806003360 is about 1687.5682917767.

The spelling of 4806003360 in words is "four billion, eight hundred six million, three thousand, three hundred sixty".