414705106 has 32 divisors (see below), whose sum is σ = 668677680. Its totient is φ = 192208896.

The previous prime is 414705103. The next prime is 414705113. The reversal of 414705106 is 601507414.

It can be written as a sum of positive squares in 8 ways, for example, as 177822225 + 236882881 = 13335^2 + 15391^2 .

It is not an unprimeable number, because it can be changed into a prime (414705103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174626 + ... + 1174978.

Almost surely, 2^414705106 is an apocalyptic number.

414705106 is a deficient number, since it is larger than the sum of its proper divisors (253972574).

414705106 is a wasteful number, since it uses less digits than its factorization.

414705106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 414705106 is about 20364.3096126532. The cubic root of 414705106 is about 745.7268740225.

The spelling of 414705106 in words is "four hundred fourteen million, seven hundred five thousand, one hundred six".