406258101 has 24 divisors (see below), whose sum is σ = 593701056. Its totient is φ = 267681600.

The previous prime is 406258087. The next prime is 406258123. The reversal of 406258101 is 101852604.

406258101 is a `hidden beast` number, since 406 + 258 + 1 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-406258101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406258001) 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 23 ways as a sum of consecutive naturals, for example, 316006 + ... + 317288.

It is an arithmetic number, because the mean of its divisors is an integer number (24737544).

Almost surely, 2^406258101 is an apocalyptic number.

It is an amenable number.

406258101 is a deficient number, since it is larger than the sum of its proper divisors (187442955).

406258101 is a wasteful number, since it uses less digits than its factorization.

406258101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 406258101 is about 20155.8453308215. The cubic root of 406258101 is about 740.6289399780.

The spelling of 406258101 in words is "four hundred six million, two hundred fifty-eight thousand, one hundred one".