416411106 has 32 divisors (see below), whose sum is σ = 885716160. Its totient is φ = 130139136.

The previous prime is 416411069. The next prime is 416411119. The reversal of 416411106 is 601114614.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7771 + ... + 29886.

It is an arithmetic number, because the mean of its divisors is an integer number (27678630).

Almost surely, 2^416411106 is an apocalyptic number.

416411106 is an abundant number, since it is smaller than the sum of its proper divisors (469305054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416411106 is a wasteful number, since it uses less digits than its factorization.

416411106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37778.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 416411106 is about 20406.1536307066. The cubic root of 416411106 is about 746.7480570911.

The spelling of 416411106 in words is "four hundred sixteen million, four hundred eleven thousand, one hundred six".