415204985 has 16 divisors (see below), whose sum is σ = 537984720. Its totient is φ = 305806080.

The previous prime is 415204981. The next prime is 415204987. The reversal of 415204985 is 589402514.

It can be written as a sum of positive squares in 8 ways, for example, as 192210496 + 222994489 = 13864^2 + 14933^2 .

It is not a de Polignac number, because 415204985 - 2² = 415204981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415204981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17075 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (33624045).

Almost surely, 2^415204985 is an apocalyptic number.

It is an amenable number.

415204985 is a deficient number, since it is larger than the sum of its proper divisors (122779735).

415204985 is a wasteful number, since it uses less digits than its factorization.

415204985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16828.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 415204985 is about 20376.5793252940. The cubic root of 415204985 is about 746.0263828546.

The spelling of 415204985 in words is "four hundred fifteen million, two hundred four thousand, nine hundred eighty-five".