4086458208 has 384 divisors, whose sum is σ = 14718412800. Its totient is φ = 1077221376.

The previous prime is 4086458149. The next prime is 4086458209. The reversal of 4086458208 is 8028546804.

4086458208 is a `hidden beast` number, since 4 + 0 + 8 + 64 + 582 + 0 + 8 = 666.

4086458208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4086458209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4033510 + ... + 4034522.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2^4086458208 is an apocalyptic number.

4086458208 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 4086458208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359206400).

4086458208 is an abundant number, since it is smaller than the sum of its proper divisors (10631954592).

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

4086458208 is a wasteful number, since it uses less digits than its factorization.

4086458208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4086458208 is about 63925.4112853410. The cubic root of 4086458208 is about 1598.7566131602.

The spelling of 4086458208 in words is "four billion, eighty-six million, four hundred fifty-eight thousand, two hundred eight".