414185941 has 8 divisors (see below), whose sum is σ = 446216120. Its totient is φ = 382180032.

The previous prime is 414185923. The next prime is 414185957. The reversal of 414185941 is 149581414.

It can be written as a sum of positive squares in 4 ways, for example, as 209409841 + 204776100 = 14471^2 + 14310^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414185941 - 2¹⁹ = 413661653 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414185941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414185741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45955 + ... + 54223.

It is an arithmetic number, because the mean of its divisors is an integer number (55777015).

Almost surely, 2^414185941 is an apocalyptic number.

It is an amenable number.

414185941 is a deficient number, since it is larger than the sum of its proper divisors (32030179).

414185941 is a wasteful number, since it uses less digits than its factorization.

414185941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135.

The product of its digits is 23040, while the sum is 37.

The square root of 414185941 is about 20351.5586872357. The cubic root of 414185941 is about 745.4155548401.

It can be divided in two parts, 414 and 185941, that added together give a triangular number (186355 = T₆₁₀).

The spelling of 414185941 in words is "four hundred fourteen million, one hundred eighty-five thousand, nine hundred forty-one".