414856 has 16 divisors (see below), whose sum is σ = 837900. Its totient is φ = 191424.

The previous prime is 414833. The next prime is 414857. The reversal of 414856 is 658414.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 17956 = 630^2 + 134^2 .

It is not an unprimeable number, because it can be changed into a prime (414857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1891 + ... + 2098.

2⁴¹⁴⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

414856 is an abundant number, since it is smaller than the sum of its proper divisors (423044).

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

414856 is a wasteful number, since it uses less digits than its factorization.

414856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4004 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 414856 is about 644.0931609635. The cubic root of 414856 is about 74.5817309422.

The spelling of 414856 in words is "four hundred fourteen thousand, eight hundred fifty-six".