414681 has 16 divisors (see below), whose sum is σ = 601344. Its totient is φ = 253184.

The previous prime is 414679. The next prime is 414683. The reversal of 414681 is 186414.

It is an interprime number because it is at equal distance from previous prime (414679) and next prime (414683).

It is a cyclic number.

It is not a de Polignac number, because 414681 - 2¹ = 414679 is a prime.

It is a super-4 number, since 4×414681⁴ (a number of 24 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414683) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 2311 + ... + 2483.

It is an arithmetic number, because the mean of its divisors is an integer number (37584).

2⁴¹⁴⁶⁸¹ is an apocalyptic number.

It is an amenable number.

414681 is a deficient number, since it is larger than the sum of its proper divisors (186663).

414681 is a wasteful number, since it uses less digits than its factorization.

414681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 768, while the sum is 24.

The square root of 414681 is about 643.9572967208. The cubic root of 414681 is about 74.5712424526.

The spelling of 414681 in words is "four hundred fourteen thousand, six hundred eighty-one".