414664 has 16 divisors (see below), whose sum is σ = 823500. Its totient is φ = 195072.

The previous prime is 414653. The next prime is 414677. The reversal of 414664 is 466414.

414664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 412164 + 2500 = 642^2 + 50^2 .

It is an unprimeable number.

414664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1389 + ... + 1660.

2⁴¹⁴⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

414664 is a deficient number, since it is larger than the sum of its proper divisors (408836).

414664 is a wasteful number, since it uses less digits than its factorization.

414664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3068 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 414664 is about 643.9440969525. The cubic root of 414664 is about 74.5702234135.

The spelling of 414664 in words is "four hundred fourteen thousand, six hundred sixty-four".