4208385 has 16 divisors (see below), whose sum is σ = 6780096. Its totient is φ = 2228928.

The previous prime is 4208371. The next prime is 4208387. The reversal of 4208385 is 5838024.

4208385 = 475² + 476² + ... + 492².

It is not a de Polignac number, because 4208385 - 2⁷ = 4208257 is a prime.

4208385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4208387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462 + ... + 3248.

It is an arithmetic number, because the mean of its divisors is an integer number (423756).

Almost surely, 2^4208385 is an apocalyptic number.

It is an amenable number.

4208385 is a deficient number, since it is larger than the sum of its proper divisors (2571711).

4208385 is a wasteful number, since it uses less digits than its factorization.

4208385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4208385 is about 2051.4348636991. The cubic root of 4208385 is about 161.4501630644.

The spelling of 4208385 in words is "four million, two hundred eight thousand, three hundred eighty-five".