415005 has 16 divisors (see below), whose sum is σ = 674880. Its totient is φ = 217728.

The previous prime is 414991. The next prime is 415013. The reversal of 415005 is 500514.

It is not a de Polignac number, because 415005 - 2¹⁰ = 413981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

415005 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 415005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2⁴¹⁵⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

415005 is a deficient number, since it is larger than the sum of its proper divisors (259875).

415005 is a wasteful number, since it uses less digits than its factorization.

415005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 415005 is about 644.2088170772. The cubic root of 415005 is about 74.5906588174.

Adding to 415005 its reverse (500514), we get a palindrome (915519).

The spelling of 415005 in words is "four hundred fifteen thousand, five".