4116405 has 16 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 2119488.

The previous prime is 4116391. The next prime is 4116419. The reversal of 4116405 is 5046114.

It is an interprime number because it is at equal distance from previous prime (4116391) and next prime (4116419).

It is not a de Polignac number, because 4116405 - 2⁵ = 4116373 is a prime.

4116405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4297 + ... + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^4116405 is an apocalyptic number.

It is an amenable number.

4116405 is a deficient number, since it is larger than the sum of its proper divisors (2697675).

4116405 is a wasteful number, since it uses less digits than its factorization.

4116405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4116405 is about 2028.8925550654. The cubic root of 4116405 is about 160.2652501260.

The spelling of 4116405 in words is "four million, one hundred sixteen thousand, four hundred five".