414000666 has 32 divisors (see below), whose sum is σ = 932613120. Its totient is φ = 136108512.

The previous prime is 414000623. The next prime is 414000701. The reversal of 414000666 is 666000414.

It is a Harshad number since it is a multiple of its sum of digits (27).

414000666 is a modest number, since divided by 666 gives 414 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48570 + ... + 56453.

It is an arithmetic number, because the mean of its divisors is an integer number (29144160).

Almost surely, 2^414000666 is an apocalyptic number.

414000666 is an abundant number, since it is smaller than the sum of its proper divisors (518612454).

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

414000666 is a wasteful number, since it uses less digits than its factorization.

414000666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105107 (or 105101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 414000666 is about 20347.0063154264. The cubic root of 414000666 is about 745.3043910276.

The spelling of 414000666 in words is "four hundred fourteen million, six hundred sixty-six", and thus it is an aban number.