414671104 has 36 divisors (see below), whose sum is σ = 829659600. Its totient is φ = 206850560.

The previous prime is 414671077. The next prime is 414671111. The reversal of 414671104 is 401176414.

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 3 ways as a sum of consecutive naturals, for example, 124047 + ... + 127345.

It is an arithmetic number, because the mean of its divisors is an integer number (23046100).

Almost surely, 2^414671104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414829800).

414671104 is an abundant number, since it is smaller than the sum of its proper divisors (414988496).

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

414671104 is an equidigital number, since it uses as much as digits as its factorization.

414671104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 414671104 is about 20363.4747526055. The cubic root of 414671104 is about 745.7064925532.

The spelling of 414671104 in words is "four hundred fourteen million, six hundred seventy-one thousand, one hundred four".