4580905 has 16 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 2956032.

The previous prime is 4580903. The next prime is 4580909. The reversal of 4580905 is 5090854.

It is a cyclic number.

It is not a de Polignac number, because 4580905 - 2¹ = 4580903 is a prime.

4580905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4580903) 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, 3255 + ... + 4444.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 2^4580905 is an apocalyptic number.

It is an amenable number.

4580905 is a deficient number, since it is larger than the sum of its proper divisors (2071895).

4580905 is a wasteful number, since it uses less digits than its factorization.

4580905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 4580905 is about 2140.3048848237. The cubic root of 4580905 is about 166.0799078196.

The spelling of 4580905 in words is "four million, five hundred eighty thousand, nine hundred five".