415601601 has 32 divisors (see below), whose sum is σ = 602604288. Its totient is φ = 253808640.

The previous prime is 415601591. The next prime is 415601617. The reversal of 415601601 is 106106514.

It is not a de Polignac number, because 415601601 - 2⁹ = 415601089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (415601101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319785 + ... + 321081.

It is an arithmetic number, because the mean of its divisors is an integer number (18831384).

Almost surely, 2^415601601 is an apocalyptic number.

It is an amenable number.

415601601 is a deficient number, since it is larger than the sum of its proper divisors (187002687).

415601601 is a wasteful number, since it uses less digits than its factorization.

415601601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 415601601 is about 20386.3091559017. The cubic root of 415601601 is about 746.2638493652.

The spelling of 415601601 in words is "four hundred fifteen million, six hundred one thousand, six hundred one".