414656 has 56 divisors (see below), whose sum is σ = 975360. Its totient is φ = 172800.

The previous prime is 414653. The next prime is 414677. The reversal of 414656 is 656414.

It is a happy number.

414656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13361 + ... + 13391.

414656 is a Friedman number, since it can be written as 64*(6^4*5-1), using all its digits and the basic arithmetic operations.

2⁴¹⁴⁶⁵⁶ 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 414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487680).

414656 is an abundant number, since it is smaller than the sum of its proper divisors (560704).

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

414656 is a wasteful number, since it uses less digits than its factorization.

414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

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

The square root of 414656 is about 643.9378852032. The cubic root of 414656 is about 74.5697438560.

The spelling of 414656 in words is "four hundred fourteen thousand, six hundred fifty-six".