407115085 has 16 divisors (see below), whose sum is σ = 529245360. Its totient is φ = 300630720.

The previous prime is 407115077. The next prime is 407115179. The reversal of 407115085 is 580511704.

It can be written as a sum of positive squares in 8 ways, for example, as 217061289 + 190053796 = 14733^2 + 13786^2 .

It is not a de Polignac number, because 407115085 - 2³ = 407115077 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 7546 + ... + 29515.

It is an arithmetic number, because the mean of its divisors is an integer number (33077835).

Almost surely, 2^407115085 is an apocalyptic number.

It is an amenable number.

407115085 is a deficient number, since it is larger than the sum of its proper divisors (122130275).

407115085 is an equidigital number, since it uses as much as digits as its factorization.

407115085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37105 (or 37079 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 407115085 is about 20177.0930760603. The cubic root of 407115085 is about 741.1493491927.

Adding to 407115085 its reverse (580511704), we get a palindrome (987626789).

It can be divided in two parts, 40711 and 5085, that added together give a square (45796 = 214²).

The spelling of 407115085 in words is "four hundred seven million, one hundred fifteen thousand, eighty-five".