4656890208 has 96 divisors (see below), whose sum is σ = 12710113920. Its totient is φ = 1491747840.

The previous prime is 4656890207. The next prime is 4656890219. The reversal of 4656890208 is 8020986564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4656890207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254883 + ... + 272541.

It is an arithmetic number, because the mean of its divisors is an integer number (132397020).

Almost surely, 2^4656890208 is an apocalyptic number.

4656890208 is a gapful number since it is divisible by the number (48) 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 4656890208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355056960).

4656890208 is an abundant number, since it is smaller than the sum of its proper divisors (8053223712).

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

4656890208 is a wasteful number, since it uses less digits than its factorization.

4656890208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17780 (or 17772 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4656890208 is about 68241.4112398037. The cubic root of 4656890208 is about 1669.9315362708.

The spelling of 4656890208 in words is "four billion, six hundred fifty-six million, eight hundred ninety thousand, two hundred eight".