4090238208 has 504 divisors, whose sum is σ = 14584152576. Its totient is φ = 1119744000.

The previous prime is 4090238203. The next prime is 4090238221. The reversal of 4090238208 is 8028320904.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090238203) 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 55 ways as a sum of consecutive naturals, for example, 40497358 + ... + 40497458.

Almost surely, 2^4090238208 is an apocalyptic number.

4090238208 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 4090238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292076288).

4090238208 is an abundant number, since it is smaller than the sum of its proper divisors (10493914368).

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

4090238208 is an equidigital number, since it uses as much as digits as its factorization.

4090238208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4090238208 is about 63954.9701586984. The cubic root of 4090238208 is about 1599.2494146102.

The spelling of 4090238208 in words is "four billion, ninety million, two hundred thirty-eight thousand, two hundred eight".