414144677 has 12 divisors (see below), whose sum is σ = 425621196. Its totient is φ = 402867840.

The previous prime is 414144641. The next prime is 414144707. The reversal of 414144677 is 776441414.

It can be written as a sum of positive squares in 2 ways, for example, as 109956196 + 304188481 = 10486^2 + 17441^2 .

It is not a de Polignac number, because 414144677 - 2⁶ = 414144613 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 414144677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698093 + ... + 698685.

It is an arithmetic number, because the mean of its divisors is an integer number (35468433).

Almost surely, 2^414144677 is an apocalyptic number.

It is an amenable number.

414144677 is a deficient number, since it is larger than the sum of its proper divisors (11476519).

414144677 is an equidigital number, since it uses as much as digits as its factorization.

414144677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 761 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 414144677 is about 20350.5448821401. The cubic root of 414144677 is about 745.3907995745.

The spelling of 414144677 in words is "four hundred fourteen million, one hundred forty-four thousand, six hundred seventy-seven".