415664 has 20 divisors (see below), whose sum is σ = 817656. Its totient is φ = 204672.

The previous prime is 415661. The next prime is 415669. The reversal of 415664 is 466514.

It is a happy number.

415664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1172 + ... + 1484.

415664 is a Friedman number, since it can be written as 664*(5^4+1), using all its digits and the basic arithmetic operations.

2⁴¹⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

415664 is a deficient number, since it is larger than the sum of its proper divisors (401992).

415664 is a wasteful number, since it uses less digits than its factorization.

415664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 415664 is about 644.7200943045. The cubic root of 415664 is about 74.6301195859.

The spelling of 415664 in words is "four hundred fifteen thousand, six hundred sixty-four".