4090 has 8 divisors (see below), whose sum is σ = 7380.
Its totient is φ = 1632.
The previous prime is 4079. The next prime is 4091. The reversal of 4090 is 904.
Adding to 4090 its reverse (904), we get a palindrome (4994).
It can be divided in two parts, 40 and 90, that multiplied together give a square (3600 = 602).
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 121 = 63^2 + 11^2
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cake number, because a cake can be divided into 4090 parts by 29 planar cuts.
4090 is a modest number, since divided by 90 gives 40 as remainder.
It is a plaindrome in base 12.
It is a nialpdrome in base 4, base 8, base 9 and base 16.
It is a zygodrome in base 4 and base 9.
It is a self number, because there is not a number n which added to its sum of digits gives 4090.
It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195 + ... + 214.
4090 is a deficient number, since it is larger than the sum of its proper divisors (3290).
4090 is a wasteful number, since it uses less digits than its factorization.
4090 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 416.
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 4090 is about 63.9531078213.
The cubic root of 4090 is about 15.9921836822.
The spelling of 4090 in words is "four thousand, ninety".