415405106 has 16 divisors (see below), whose sum is σ = 645076440. Its totient is φ = 200390400.

The previous prime is 415405099. The next prime is 415405141. The reversal of 415405106 is 601504514.

It can be written as a sum of positive squares in 4 ways, for example, as 349129225 + 66275881 = 18685^2 + 8141^2 .

It is a super-2 number, since 2×415405106² = 345122804181742472, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146906 + ... + 149706.

Almost surely, 2^415405106 is an apocalyptic number.

415405106 is a deficient number, since it is larger than the sum of its proper divisors (229671334).

415405106 is a wasteful number, since it uses less digits than its factorization.

415405106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 415405106 is about 20381.4892978899. The cubic root of 415405106 is about 746.1462205025.

The spelling of 415405106 in words is "four hundred fifteen million, four hundred five thousand, one hundred six".