4806459 has 40 divisors (see below), whose sum is σ = 8421600. Its totient is φ = 2730672.

The previous prime is 4806443. The next prime is 4806463. The reversal of 4806459 is 9546084.

4806459 is a `hidden beast` number, since 4 + 8 + 0 + 645 + 9 = 666.

It is not a de Polignac number, because 4806459 - 2⁴ = 4806443 is a prime.

It is a super-3 number, since 3×4806459³ (a number of 21 digits) contains 333 as substring.

4806459 is a lucky number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (4806409) 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 39 ways as a sum of consecutive naturals, for example, 27697 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (210540).

Almost surely, 2^4806459 is an apocalyptic number.

4806459 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4806459 is a deficient number, since it is larger than the sum of its proper divisors (3615141).

4806459 is an equidigital number, since it uses as much as digits as its factorization.

4806459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4806459 is about 2192.3637928045. The cubic root of 4806459 is about 168.7621620864.

The spelling of 4806459 in words is "four million, eight hundred six thousand, four hundred fifty-nine".