4190208 has 104 divisors (see below), whose sum is σ = 12581376. Its totient is φ = 1228800.

The previous prime is 4190189. The next prime is 4190231. The reversal of 4190208 is 8020914.

It is a Cunningham number, because it is equal to 2047²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135153 + ... + 135183.

Almost surely, 2^4190208 is an apocalyptic number.

4190208 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 4190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290688).

4190208 is an abundant number, since it is smaller than the sum of its proper divisors (8391168).

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

4190208 is a wasteful number, since it uses less digits than its factorization.

4190208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4190208 is about 2046.9997557401. Note that the first 3 decimals coincide. The cubic root of 4190208 is about 161.2173805781.

The spelling of 4190208 in words is "four million, one hundred ninety thousand, two hundred eight".