416405 has 16 divisors (see below), whose sum is σ = 558144. Its totient is φ = 295680.

The previous prime is 416401. The next prime is 416407. The reversal of 416405 is 504614.

It is a happy number.

It is not a de Polignac number, because 416405 - 2² = 416401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3629 + ... + 3741.

It is an arithmetic number, because the mean of its divisors is an integer number (34884).

2⁴¹⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

416405 is a deficient number, since it is larger than the sum of its proper divisors (141739).

416405 is a wasteful number, since it uses less digits than its factorization.

416405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 416405 is about 645.2945064077. The cubic root of 416405 is about 74.6744407120.

Subtracting 416405 from its reverse (504614), we obtain a square (88209 = 297²).

It can be divided in two parts, 41 and 6405, that added together give a palindrome (6446).

The spelling of 416405 in words is "four hundred sixteen thousand, four hundred five".