405226107 has 48 divisors (see below), whose sum is σ = 691891200. Its totient is φ = 225305280.

The previous prime is 405226103. The next prime is 405226123. The reversal of 405226107 is 701622504.

405226107 is a `hidden beast` number, since 40 + 5 + 2 + 2 + 610 + 7 = 666.

It is not a de Polignac number, because 405226107 - 2² = 405226103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405226103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229494 + ... + 231252.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^405226107 is an apocalyptic number.

405226107 is a deficient number, since it is larger than the sum of its proper divisors (286665093).

405226107 is a wasteful number, since it uses less digits than its factorization.

405226107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 405226107 is about 20130.2286872256. The cubic root of 405226107 is about 740.0012825641.

The spelling of 405226107 in words is "four hundred five million, two hundred twenty-six thousand, one hundred seven".