414407103 has 32 divisors (see below), whose sum is σ = 611373312. Its totient is φ = 247603200.

The previous prime is 414407093. The next prime is 414407107. The reversal of 414407103 is 301704414.

It is not a de Polignac number, because 414407103 - 2¹⁰ = 414406079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414407107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110825 + ... + 1111197.

It is an arithmetic number, because the mean of its divisors is an integer number (19105416).

Almost surely, 2^414407103 is an apocalyptic number.

414407103 is a deficient number, since it is larger than the sum of its proper divisors (196966209).

414407103 is a wasteful number, since it uses less digits than its factorization.

414407103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 414407103 is about 20356.9915016930. The cubic root of 414407103 is about 745.5482072268.

The spelling of 414407103 in words is "four hundred fourteen million, four hundred seven thousand, one hundred three".