416361 has 24 divisors (see below), whose sum is σ = 646912. Its totient is φ = 237600.

The previous prime is 416359. The next prime is 416387. The reversal of 416361 is 163614.

It is not a de Polignac number, because 416361 - 2¹ = 416359 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11235 + ... + 11271.

2⁴¹⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

416361 is a deficient number, since it is larger than the sum of its proper divisors (230551).

416361 is a wasteful number, since it uses less digits than its factorization.

416361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 416361 is about 645.2604125467. The cubic root of 416361 is about 74.6718104272.

Adding to 416361 its reverse (163614), we get a palindrome (579975).

It can be divided in two parts, 4163 and 61, that added together give a palindrome (4224).

The spelling of 416361 in words is "four hundred sixteen thousand, three hundred sixty-one".