414400105 has 12 divisors (see below), whose sum is σ = 578469060. Its totient is φ = 284159904.

The previous prime is 414400093. The next prime is 414400121. The reversal of 414400105 is 501004414.

It can be written as a sum of positive squares in 2 ways, for example, as 243235216 + 171164889 = 15596^2 + 13083^2 .

It is not a de Polignac number, because 414400105 - 2⁷ = 414399977 is a prime.

It is a super-2 number, since 2×414400105² = 343454894048022050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845470 + ... + 845959.

It is an arithmetic number, because the mean of its divisors is an integer number (48205755).

Almost surely, 2^414400105 is an apocalyptic number.

It is an amenable number.

414400105 is a deficient number, since it is larger than the sum of its proper divisors (164068955).

414400105 is a wasteful number, since it uses less digits than its factorization.

414400105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691448 (or 1691441 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 414400105 is about 20356.8196189876. The cubic root of 414400105 is about 745.5440105679.

Adding to 414400105 its reverse (501004414), we get a palindrome (915404519).

It can be divided in two parts, 414400 and 105, that added together give a triangular number (414505 = T₉₁₀).

The spelling of 414400105 in words is "four hundred fourteen million, four hundred thousand, one hundred five".