415601 has 4 divisors (see below), whose sum is σ = 421872. Its totient is φ = 409332.

The previous prime is 415577. The next prime is 415603. The reversal of 415601 is 106514.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 415601 - 2¹⁰ = 414577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415601.

It is not an unprimeable number, because it can be changed into a prime (415603) 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 3 ways as a sum of consecutive naturals, for example, 3035 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (105468).

2⁴¹⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

415601 is a deficient number, since it is larger than the sum of its proper divisors (6271).

415601 is an equidigital number, since it uses as much as digits as its factorization.

415601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 415601 is about 644.6712340410. The cubic root of 415601 is about 74.6263489642.

The spelling of 415601 in words is "four hundred fifteen thousand, six hundred one".