414712 has 8 divisors (see below), whose sum is σ = 777600. Its totient is φ = 207352.

The previous prime is 414709. The next prime is 414721. The reversal of 414712 is 217414.

414712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 414712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25912 + ... + 25927.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

2⁴¹⁴⁷¹² is an apocalyptic number.

It is an amenable number.

414712 is a deficient number, since it is larger than the sum of its proper divisors (362888).

414712 is a wasteful number, since it uses less digits than its factorization.

414712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51845 (or 51841 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 414712 is about 643.9813661900. The cubic root of 414712 is about 74.5731006286.

It can be divided in two parts, 41 and 4712, that added together give a triangular number (4753 = T₉₇).

The spelling of 414712 in words is "four hundred fourteen thousand, seven hundred twelve", and thus it is an iban number.