4806435840 has 352 divisors, whose sum is σ = 16554170880. Its totient is φ = 1185939456.

The previous prime is 4806435817. The next prime is 4806435847. The reversal of 4806435840 is 485346084.

It is a super-3 number, since 3×4806435840³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4806435792 and 4806435801.

It is not an unprimeable number, because it can be changed into a prime (4806435847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20628364 + ... + 20628596.

Almost surely, 2^4806435840 is an apocalyptic number.

4806435840 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 4806435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277085440).

4806435840 is an abundant number, since it is smaller than the sum of its proper divisors (11747735040).

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

4806435840 is a wasteful number, since it uses less digits than its factorization.

4806435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4806435840 is about 69328.4634187143. The cubic root of 4806435840 is about 1687.6189102490.

The spelling of 4806435840 in words is "four billion, eight hundred six million, four hundred thirty-five thousand, eight hundred forty".