415009 has 8 divisors (see below), whose sum is σ = 479808. Its totient is φ = 351600.

The previous prime is 414991. The next prime is 415013. The reversal of 415009 is 900514.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415009 - 2⁵ = 414977 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (415039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2⁴¹⁵⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

415009 is a deficient number, since it is larger than the sum of its proper divisors (64799).

415009 is a wasteful number, since it uses less digits than its factorization.

415009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 415009 is about 644.2119216531. The cubic root of 415009 is about 74.5908984624.

It can be divided in two parts, 41 and 5009, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 415009 in words is "four hundred fifteen thousand, nine".