4638405 has 16 divisors (see below), whose sum is σ = 7678080. Its totient is φ = 2388288.

The previous prime is 4638397. The next prime is 4638407. The reversal of 4638405 is 5048364.

It is not a de Polignac number, because 4638405 - 2³ = 4638397 is a prime.

It is a Curzon number.

4638405 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (479880).

Almost surely, 2^4638405 is an apocalyptic number.

It is an amenable number.

4638405 is a deficient number, since it is larger than the sum of its proper divisors (3039675).

4638405 is a wasteful number, since it uses less digits than its factorization.

4638405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10700.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4638405 is about 2153.6956609512. The cubic root of 4638405 is about 166.7719046469.

The spelling of 4638405 in words is "four million, six hundred thirty-eight thousand, four hundred five".